ARTICLE
|
doi:10.20944/preprints201909.0068.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Hermite polynomials; Humbert polynomials; Gegenbauer polynomials; Chebyshev polynomials; Pathan-Khan polynomials; hypergeometric function
Online: 6 September 2019 (04:02:50 CEST)
ARTICLE
|
doi:10.20944/preprints201904.0334.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Hermite polynomials; degenerate Hermite polynomials; degenerate Fubini polynomials; degenerate Hermite-Fubini polynomials
Online: 30 April 2019 (11:41:33 CEST)
ARTICLE
|
doi:10.20944/preprints201808.0144.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
partially degenerate Changhee-Genocchi polynomials, degenerate Genocchi polynomials, degenerate Changhee polynomials.
Online: 7 August 2018 (13:16:55 CEST)
ARTICLE
|
doi:10.20944/preprints201908.0215.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Hermite polynomials, Frobenius type Eulerian polynomials, Hermite based Frobenius type Eulerian polynomials, q-numbers, q-polynomials.
Online: 20 August 2019 (11:20:12 CEST)
ARTICLE
|
doi:10.20944/preprints201712.0104.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(p, q)-calculus; Bernoulli polynomials; Euler polynomials; Genocchi polynomials; Frobenius-Euler polynomials; generating function; Cauchy product
Online: 15 December 2017 (09:14:10 CET)
ARTICLE
|
doi:10.20944/preprints201904.0309.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
$q$-Hermite polynomials; $q$-Hermite-Fubini polynomials; $q$-Bernoulli polynomials; $q$-Euler polynomials; $q$-Genocchi polynomials; Stirling numbers of the second kind
Online: 28 April 2019 (10:15:26 CEST)
ARTICLE
|
doi:10.20944/preprints202004.0488.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
polylogarithem function; unipoly function; Cauchy polynomials; poly-Cauchy polynomials; unipoly-Cauchy polynomials
Online: 28 April 2020 (08:38:36 CEST)
ARTICLE
|
doi:10.20944/preprints201908.0212.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
Special polynomials; gamma distribution; Cauchy product; generating function; Bernoulli polynomials; Euler polynomials.
Online: 20 August 2019 (11:08:39 CEST)
ARTICLE
|
doi:10.20944/preprints201904.0333.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Hermite polynomials; Fubini numbers and polynomials; Hermite-Fubini polynomials; summation formulae; symmetric identities
Online: 30 April 2019 (11:37:38 CEST)
ARTICLE
|
doi:10.20944/preprints201809.0258.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Chebyshev polynomials of second kind; Fibonacci polynomials; sums of finite products; orthogonal polynomials
Online: 14 September 2018 (10:17:50 CEST)
ARTICLE
|
doi:10.20944/preprints201802.0119.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
numbers and polynomials; Bernoulli numbers and polynomials; Genocchi numbers and polynomials; power sums
Online: 19 February 2018 (14:18:47 CET)
ARTICLE
|
doi:10.20944/preprints201904.0335.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Hermite polynomials; Fubini numbers and polynomials; Laguerre-based Hermite-Fubini polynomials; summation formulae; symmetric identities
Online: 30 April 2019 (11:44:52 CEST)
HYPOTHESIS
|
doi:10.20944/preprints202106.0036.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
entire function; zeros of polynomials; polynomials; conjecture of Jensen
Online: 1 June 2021 (14:40:02 CEST)
ARTICLE
|
doi:10.20944/preprints201807.0182.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
degenerate Bernstein polynomials, degenerate Bernstein operators, degenerate Euler polynomials.
Online: 10 July 2018 (13:56:13 CEST)
ARTICLE
|
doi:10.20944/preprints201908.0194.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
hermite polynomials; Frobenius type Eulerian polynomials; Hermite-based Frobenius type Eulerian polynomials; summation formulae; symmetric identities
Online: 19 August 2019 (12:18:42 CEST)
ARTICLE
|
doi:10.20944/preprints201905.0077.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
$q$-Hermite type polynomials, $q$-unified Apostol type polynomials, $q$-Hermite based unified Apostol type polynomials.
Online: 7 May 2019 (11:20:54 CEST)
ARTICLE
|
doi:10.20944/preprints201807.0566.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
q-Bernoulli numbers; q-Bernoulli polynomials; Bernstein polynomials; q-Bernstein polynomials; p-adic integral on Zp
Online: 30 July 2018 (08:17:45 CEST)
ARTICLE
|
doi:10.20944/preprints201807.0352.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Hermite polynomials; Chan-Chyan-Srivastava polynomials; lagrange-based apostol type Hermite polynomials; summation formulae; symmetric identities
Online: 19 July 2018 (10:14:08 CEST)
ARTICLE
|
doi:10.20944/preprints202007.0103.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
polylogarithm function; Frobenius-Genocchi polynomials; degenerate poly-Frobenius-Euler polynomials
Online: 6 July 2020 (09:47:06 CEST)
ARTICLE
|
doi:10.20944/preprints201811.0540.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
sums of finite products; Chebyshev polynomials of the first kind; Lucas polynomials; Chebyshev polynomials of all kinds
Online: 22 November 2018 (06:43:38 CET)
ARTICLE
|
doi:10.20944/preprints201712.0118.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
q-umbral calculus; apostol-bernoulli polynomials; modi.ed apostol type q-bernoulli polynomials; q-appell polynomials; generating functions
Online: 18 December 2017 (10:01:24 CET)
ARTICLE
|
doi:10.20944/preprints202304.1218.v2
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
rational Sturm-Liouville equation; Liouville transformation; complex Jacobi polynomials, classical Jacobi polynomials, Romanovski-Routh polynomials, Masjed-Jamei polynomials; quasi-rational solutions, almost-everywhere holomorphic solutions
Online: 5 June 2023 (09:30:19 CEST)
ARTICLE
|
doi:10.20944/preprints201802.0145.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Hermite-Kampé de Fériet polynomials; Hermite Bernoulli polynomials; poly Bernoulli polynomials; Stirling numbers of second kind; Polylogarithm functions.
Online: 22 February 2018 (15:28:12 CET)
ARTICLE
|
doi:10.20944/preprints202301.0545.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
Energy polynomials; Energy spectrum; harmonic oscillator; orthogonal polynomials; tridiagonal matrix; wavefunction
Online: 30 January 2023 (07:09:26 CET)
ARTICLE
|
doi:10.20944/preprints202007.0161.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Degenerate polylogarithm functions; Degenerate poly-Cauchy polynomials; Degenerate unipoly-Cauchy polynomials
Online: 8 July 2020 (18:51:34 CEST)
ARTICLE
|
doi:10.20944/preprints202007.0114.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
degenerate polylogarithm functions; degenerate poly-Cauchy polynomials; degenerate unipoly-Cauchy polynomials
Online: 7 July 2020 (08:20:34 CEST)
ARTICLE
|
doi:10.20944/preprints202006.0355.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Polylogarithm function; Polyexponential function; Frobenius-Genocchi polynomials; Poly-Frobenius-Genocchi polynomials
Online: 30 June 2020 (07:54:52 CEST)
ARTICLE
|
doi:10.20944/preprints201807.0361.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Hermite polynomials, degenerate Hermite poly-Genocchi polynomials, summation formulae, symmetric identities
Online: 19 July 2018 (13:51:44 CEST)
ARTICLE
|
doi:10.20944/preprints201712.0116.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
(p, q)-calculus; hermite polynomials; bernstein polynomials; generating function; hyperbolic functions
Online: 18 December 2017 (08:32:22 CET)
ARTICLE
|
doi:10.20944/preprints201810.0129.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
degenerate Daehee polynomials; fully degenerate Daehee polynomials of the second kind; higher-order Daehee polynomials of the second kind
Online: 8 October 2018 (05:53:03 CEST)
ARTICLE
|
doi:10.20944/preprints201810.0767.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Changhee polynomials, Changhee polynomials of type two, p-adic interal
on Zp
Online: 1 November 2018 (18:13:42 CET)
ARTICLE
|
doi:10.20944/preprints201804.0276.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fubini polynomials; w-torsion Fubini polynomials; fermionic p-adic integrals; symmetric identities
Online: 23 April 2018 (08:24:37 CEST)
ARTICLE
|
doi:10.20944/preprints201908.0213.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Central Bell polynomials; central factorial numbers; degenerate central Bell polynomials; Stirling numbers of the first kind; special numbers; special polynomials.
Online: 20 August 2019 (11:13:05 CEST)
ARTICLE
|
doi:10.20944/preprints201904.0308.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
$(p,q)$-calculus; $(p; q)$-Bernoulli polynomials; $(p; q)$-Euler polynomials; $(p; q)$-Genocchi polynomials; $(p; q)$-Fubini numbers and polynomials; $(p; q)$ Stirling numbers of the second kind
Online: 28 April 2019 (09:56:29 CEST)
ARTICLE
|
doi:10.20944/preprints201712.0152.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(p, q)-calculus; apostol-bernoulli polynomials; apostol-euler polynomials; apostol- genocchi polynomials; stirling numbers of second kind; generating function; cauchy product
Online: 21 December 2017 (05:30:46 CET)
ARTICLE
|
doi:10.20944/preprints202007.0319.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
polylogarithm function; Frobenius-Euler polynomials; new type of degenerate poly-Frobenius-Euler polynomials
Online: 15 July 2020 (06:31:30 CEST)
ARTICLE
|
doi:10.20944/preprints202007.0048.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Polyexponential function; Degenerate exponential function; Polyexponential function; Frobenius-Genocchi polynomials; Poly-Frobenius-Genocchi polynomials
Online: 2 October 2020 (13:58:25 CEST)
ARTICLE
|
doi:10.20944/preprints202009.0608.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
degenerate polylogarithm functions; degenerate poly-Fubini polynomials; degenerate unipoly functions; degenerate unipoly-Fubini polynomials
Online: 25 September 2020 (11:41:25 CEST)
ARTICLE
|
doi:10.20944/preprints202009.0578.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Modified degenerate polexponential function; Fubini polynomials; type 2 degenerate poly-Fubini polynomials; unipoly functions
Online: 24 September 2020 (10:52:02 CEST)
ARTICLE
|
doi:10.20944/preprints202007.0255.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
polylogarithm function; Frobenius-Euler polynomials; type 2 degenerate poly-Frobenius-Euler polynomials; unipoly functions
Online: 12 July 2020 (12:22:53 CEST)
ARTICLE
|
doi:10.20944/preprints202007.0202.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
degenerate polylogarithm functions; degenerate poly-Euler polynomials; degenerate unipoly functions; degenerate unipoly-Euler polynomials
Online: 10 July 2020 (03:39:58 CEST)
ARTICLE
|
doi:10.20944/preprints201908.0216.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Hermite polynomials, Apostol type Frobenius-Euler polynomials, Hermite based Apostol type Frobenius Euler polynomials, Stirling numbers of the second kind, (p,q)-numbers.
Online: 20 August 2019 (11:29:03 CEST)
ARTICLE
|
doi:10.20944/preprints202309.0018.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Complex polynomials; counting zeros; monotone coefficients
Online: 1 September 2023 (09:07:04 CEST)
ARTICLE
|
doi:10.20944/preprints201810.0214.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
(h,q)-Euler polynomials; degenerate (h,q)-Changhee polynomials; fermionic p-adic q-integral on Z_p
Online: 10 October 2018 (10:26:49 CEST)
ARTICLE
|
doi:10.20944/preprints201810.0142.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
(h,q)-Euler polynomials; degenerate (h,q)-Changhee polynomials,; fermionic p-adic q-integral on Z_p.
Online: 8 October 2018 (11:40:33 CEST)
ARTICLE
|
doi:10.20944/preprints202008.0706.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Euler polynomials; Degenerate multi-polyexponential functions; Degenerate multi-poly-Euler polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers
Online: 31 August 2020 (05:15:55 CEST)
ARTICLE
|
doi:10.20944/preprints202008.0057.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Bernoulli polynomials; Degenerate multi-polyexponential functions; Degenerate multi-poly-Bernoulli polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers
Online: 3 August 2020 (00:28:39 CEST)
ARTICLE
|
doi:10.20944/preprints201811.0248.v1
Subject:
Computer Science And Mathematics,
Computer Vision And Graphics
Keywords:
Complexity; Chebyshev Polynomials; Gear graph; Pyramid graphs.
Online: 9 November 2018 (15:17:44 CET)
ARTICLE
|
doi:10.20944/preprints201807.0325.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fubini polynomials; Euler numbers; congruence; elementary method
Online: 20 August 2018 (18:50:20 CEST)
ARTICLE
|
doi:10.20944/preprints202405.1602.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Bernoulli polynomials; shifted Chebyshev polynomials; Bernoulli collocation method (BCM); Improved Bernoulli collocation method (IBCM); Volterra integral equation s (VIEs)
Online: 24 May 2024 (08:38:41 CEST)
ARTICLE
|
doi:10.20944/preprints202111.0466.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
3D Zernike moments; 3D Zernike radial polynomials; 3D Zernike polynomials; Spherical harmonics; Recurrence formula; Matrix Lie Group; Group action
Online: 25 November 2021 (09:54:08 CET)
ARTICLE
|
doi:10.20944/preprints202203.0165.v1
Subject:
Physical Sciences,
Theoretical Physics
Keywords:
Legendre’s equation; Legendre functions; Legendre polynomials; singularities; symmetry
Online: 11 March 2022 (09:33:45 CET)
ARTICLE
|
doi:10.20944/preprints201806.0079.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Chebyshev polynomials; sums of finite products; hypergeometric function
Online: 6 June 2018 (09:44:52 CEST)
ARTICLE
|
doi:10.20944/preprints202407.2285.v1
Subject:
Physical Sciences,
Optics And Photonics
Keywords:
optimization; freeform; NURBS; differential ray tracer; XY polynomials; TMA
Online: 29 July 2024 (10:14:59 CEST)
ARTICLE
|
doi:10.20944/preprints202009.0581.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Polyexponential functions, type 2 poly-Fubini polynomials, unipoly functions.
Online: 24 September 2020 (11:35:42 CEST)
ARTICLE
Subject:
Physical Sciences,
Applied Physics
Keywords:
Granger causality; directed brain connectivity; MEG connectivity; Laguerre polynomials
Online: 25 June 2019 (10:24:23 CEST)
ARTICLE
|
doi:10.20944/preprints201809.0251.v1
Subject:
Engineering,
Mechanical Engineering
Keywords:
energy equation; numerical solution; Lobatto point quadrature; Legendre polynomials
Online: 14 September 2018 (04:42:42 CEST)
REVIEW
|
doi:10.20944/preprints201806.0471.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
generalised correlations; orthonormal polynomials; randomised block designs; umbrella effects
Online: 28 June 2018 (12:44:08 CEST)
ARTICLE
|
doi:10.20944/preprints201806.0065.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
harmonic numbers; operators; umbral methods; special functions; Hermite polynomials
Online: 5 June 2018 (11:52:13 CEST)
ARTICLE
|
doi:10.20944/preprints202306.1773.v1
Subject:
Computer Science And Mathematics,
Mathematical And Computational Biology
Keywords:
Dynamical system; Piecewise derivative; Newton polynomials; Fractional order iterative method
Online: 26 June 2023 (09:46:57 CEST)
ARTICLE
|
doi:10.20944/preprints202205.0138.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Shifted Chebyshev polynomials; Chebyshev-Gauss-Lobatto quadrature; space-time FPDE
Online: 10 May 2022 (10:19:34 CEST)
ARTICLE
|
doi:10.20944/preprints201807.0534.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
covariates; crab data; foetal lamb data; orthonormal polynomials; Poisson distribution
Online: 27 July 2018 (05:20:44 CEST)
ARTICLE
|
doi:10.20944/preprints202310.1091.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
sum of divisors; bi-unitary divisors; polynomials; finite fields; characteristic 2
Online: 17 October 2023 (11:59:49 CEST)
COMMUNICATION
|
doi:10.20944/preprints201901.0284.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
tridiagonal representation; orthogonal polynomials; potential functions; asymptotics; recursion relation; spectrum formula
Online: 29 January 2019 (04:37:49 CET)
ARTICLE
|
doi:10.20944/preprints201903.0179.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
q-numbers, p-adic numbers, p-adic gamma function, Mahler expansion, Bernoulli polynomials, Daehee polynomials, Stirling numbers of the first kind, Stirling numbers of the second kind.
Online: 20 August 2019 (11:17:13 CEST)
ARTICLE
|
doi:10.20944/preprints202305.1665.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Sturm-Liouville equations; differences; zeros; higher monotonicity; Bessel functions; orthogonal polynomials
Online: 24 May 2023 (01:54:22 CEST)
ARTICLE
|
doi:10.20944/preprints202103.0626.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Spectral transformation; Darboux transformations; First kind orthogonal polynomials; Laguerre-Hahn linear functional.
Online: 25 March 2021 (14:40:48 CET)
ARTICLE
|
doi:10.20944/preprints201907.0084.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Charlier matrix polynomials; generating matrix functions; Charlier matrix differential equations; Lie algebra
Online: 4 July 2019 (17:47:40 CEST)
ARTICLE
|
doi:10.20944/preprints201810.0180.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Entire and Meromorphic function, Shared values, Nevanlinna theory, shifts, dierence polynomials
Online: 9 October 2018 (09:36:40 CEST)
ARTICLE
|
doi:10.20944/preprints202402.0910.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
fibonacci numbers; fibonacci polynomials; fibonacci spinors; generalized fibonacci spinors; generalized fibonacci polynomial spinors
Online: 16 February 2024 (14:15:45 CET)
ARTICLE
|
doi:10.20944/preprints202407.1276.v6
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Arithmetic Function; Second Chebyshev Function; prime counting function; Prime Number Theorem; Error Estimates; Higher-Degree Polynomials; weighted sums; logarithmic weighted sums
Online: 20 August 2024 (08:42:50 CEST)
ARTICLE
|
doi:10.20944/preprints202302.0222.v2
Subject:
Computer Science And Mathematics,
Computational Mathematics
Keywords:
Gauss quadrature; integral approximation; continuous measure; discrete measure; mixed measure; orthogonal polynomials; recursion relation
Online: 17 February 2023 (15:11:43 CET)
ARTICLE
|
doi:10.20944/preprints202010.0204.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Legendre-Gould Hopper based Sheffer polynomials; Generating relations; Operational method; Monomiality principle; Determinantal definition
Online: 9 October 2020 (13:04:41 CEST)
ARTICLE
|
doi:10.20944/preprints202009.0196.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
orthogonal collocation; variational iteration method; mamadu-njoseh polynomials; differential equations; corona virus; SEIR model
Online: 9 September 2020 (03:42:20 CEST)
ARTICLE
|
doi:10.20944/preprints202305.0599.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Two- dimensional nonlinear integral equation; Banach fixed point theorem; Block-pulse function; Hybrid functions; Legendre polynomials
Online: 9 May 2023 (08:21:21 CEST)
ARTICLE
|
doi:10.20944/preprints201908.0214.v1
Subject:
Computer Science And Mathematics,
Probability And Statistics
Keywords:
Poisson distribution; raw moments; Bell polynomials; degenerate exponential function; unsigned Stirling number of the first kind.
Online: 20 August 2019 (11:14:22 CEST)
ARTICLE
|
doi:10.20944/preprints201712.0115.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
q-calculus; stirling numbers of the second kind; bernoulli polynomials and numbers; generating function; cauchy product
Online: 18 December 2017 (08:22:41 CET)
ARTICLE
|
doi:10.20944/preprints202311.1448.v1
Subject:
Physical Sciences,
Quantum Science And Technology
Keywords:
quantum ideal gas; grand partition function; supersymmetric polynomials on Banach spaces; algebraic basis; topological semiring; tropical semiring
Online: 23 November 2023 (09:40:11 CET)
ARTICLE
|
doi:10.20944/preprints202106.0243.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
factorials; binomial coefficients; combinatorial numbers; non-classical hypergeometric orthogonal polynomials; non-classical second-order hypergeometric linear DEs
Online: 9 June 2021 (07:39:47 CEST)
ARTICLE
|
doi:10.20944/preprints202011.0464.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
topologically transitive operator; hypercyclic operators; function space; analytic functions on Banach spaces; symmetric polynomials on Banach spaces
Online: 18 November 2020 (10:39:35 CET)
ARTICLE
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
discrete degenerate random variables; degenerate binomial random variable; degenerate Poisson random variable; new type degenerate Bell polynomials
Online: 15 November 2019 (16:43:03 CET)
ARTICLE
|
doi:10.20944/preprints201807.0187.v1
Subject:
Engineering,
Control And Systems Engineering
Keywords:
Colebrook equation; Colebrook-White; flow friction; iterative procedure; logarithms; Padé polynomials; hydraulic resistances; turbulent flow; pipes; computational burden
Online: 11 July 2018 (03:44:28 CEST)
ARTICLE
|
doi:10.20944/preprints202408.0625.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
polynomials; eigenvalues; eigenvectors; neural networks; numerical methods; Newton-Raphson; Durand-Kerner; hybrid algorithms; root approximation; initial approximations; iterative methods
Online: 9 August 2024 (00:20:25 CEST)
ARTICLE
|
doi:10.20944/preprints202312.2327.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Sums of consecutive squared integers equal to square integers; Quadratic diophantine equation; Generalized Pell equation; Fundamental solutions; Chebyshev polynomials
Online: 29 December 2023 (15:30:23 CET)
ARTICLE
|
doi:10.20944/preprints201810.0140.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
sums of finite products of chebyshev polynomials of the third and fourth kinds; Hermite; generalized Laguerre; Legendre; Gegenbauer; Jacobi
Online: 8 October 2018 (11:20:20 CEST)
ARTICLE
|
doi:10.20944/preprints201802.0118.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
p-adic numbers; p-adic gamma function; p-adic Euler constant; q-Daehee polynomials; Stirling numbers of the first kind
Online: 19 February 2018 (14:12:04 CET)
ARTICLE
|
doi:10.20944/preprints201712.0105.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Carlitz’s q-Bernoulli polynomials; Stirling numbers of the first kind; Stirling numbers of the second kind; p-adic q-integral
Online: 15 December 2017 (09:31:13 CET)
ARTICLE
|
doi:10.20944/preprints201905.0216.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
p-adic numbers, p-adic gamma function, p-adic Euler constant, Mahler expansion, Boole polynomials, Stirling numbers of the first kind.
Online: 16 May 2019 (15:34:31 CEST)
ARTICLE
|
doi:10.20944/preprints202302.0450.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
special polynomials; Hermite; Laguerre; Legendre; differential operators; Lie algebra; Baker-Campbell-Hausdorff formula; separated basis transformation; Forbenius covariant; Rodrigues formula; differential equations
Online: 27 February 2023 (06:44:12 CET)
ARTICLE
|
doi:10.20944/preprints201905.0217.v1
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
p-adic numbers, p-adic gamma function, p-adic Euler constant, Mahler expansion, q-Boole polynomials, Stirling numbers of the first kind.
Online: 16 May 2019 (15:35:19 CEST)
ARTICLE
|
doi:10.20944/preprints201905.0215.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
p-adic numbers, p-adic gamma function, p-adic Euler constant, Mahler expansion, q-Daehee polynomials, Stirling numbers of the first kind.
Online: 16 May 2019 (15:33:45 CEST)
ARTICLE
|
doi:10.20944/preprints201703.0209.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
identity; inverse matrix; explicit formula; generating function; Chebyshev polynomials of the second kind; Catalan number; triangular matrix; classical hypergeometric function; integral representation
Online: 7 August 2017 (15:49:11 CEST)
REVIEW
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doi:10.20944/preprints202405.1748.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
algebraic number fields; index of an element; generators of power integral bases; monogenic number fields; monogenic polynomials; pure fields; trinomials; relative extensions; algorithms
Online: 27 May 2024 (14:05:50 CEST)
ARTICLE
|
doi:10.20944/preprints201810.0548.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
q-analogue of Sumudu transforms; q-analogue of hypergeometric functions; general class of q- polynomials; Fox’s H-function; basic analogue of I-function
Online: 24 October 2018 (05:37:37 CEST)
ARTICLE
|
doi:10.20944/preprints201904.0126.v1
Subject:
Computer Science And Mathematics,
Discrete Mathematics And Combinatorics
Keywords:
power identities; polynomials; convolution; convolution power; integral transforms; power function; binomial theorem; multinomial theorem; Faulhaber's formula; Bernoulli numbers; Worpitzky identity; Stirling numbers; falling factorial
Online: 10 April 2019 (10:27:59 CEST)
ARTICLE
|
doi:10.20944/preprints202304.0844.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Extended Beta function; Extended hypergeometric function; Extended confluent hypergeometric function; Extended Appell function; Mellin transforms; Inverse Mellin transforms; H-functions; Laguerre polynomials; Transformation formulas; Recurrence relation; Generating function; Bounding inequalities
Online: 24 April 2023 (09:45:32 CEST)