Academia.edu no longer supports Internet Explorer.
To browse Academia.edu and the wider internet faster and more securely, please take a few seconds to upgrade your browser.
2007, Eprint Arxiv 0708 3254
In this paper we present theorems and applications of Wallis theorem related to trigonometric integrals.
We show how the sine and cosine integrals may be usefully employed in the evaluation of some more complex integrals.
2007 •
We present evalauations and provide proofs of definite integrals involving the function x^p cos^n x. These formulae are generalizations of 3.761.11 and 3.822.1, among others, in the classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik.
Journal of Inequalities and Applications
Some exact constants for the approximation of the quantity in the Wallis’ formula2013 •
2013 •
In this article a new upper bounds for the multiple trigonometrical integrals are found. The method of the work based on a new method of estimation for the areas of algebraic surfaces.
2016 •
The table of Gradshteyn and Ryzhik contains many integrals that involve trigonometric functions. Evaluations are presented for integrands containing products of trigonometric functions and products of trigonometric functions and Legendre polynomials, logarithms, Bessel functions, and the Gauss hypergeometric function.
In this paper, we establish certain integrals involving Srivastava's Polyno-mials [5] and Aleph Function ([8], [10]). On account of general nature of the functions and polynomials involved in the integrals, our results provide interesting unifications and generalizations of a large number of new and known results, which may find useful applications in the field of science and engineering. To illustrate, we have recorded some special cases of our main results which are also sufficiently general and unified in nature and are of interest in themselves.
2015 •
In time, inequalities about Wallis ratio and related functions were presented by many mathematicians. In this paper, we show how estimates on the Wallis ratio can be obtained using the asymptotic series. Finally, an improvement of an inequality due to X.-M. Zhang, T.-Q. Xu and L.-B. Situ [Geometric convexity of a function involving gamma function and application to inequality theory, J. Inequal. Pure Appl. Math. 8 (1) (2007) Art. 17, 9 pp.] is presented. Mathematics Subject Classification (2010): 33B15, 34E05, 41A60.
arXiv: Classical Analysis and ODEs
On generalized $(p,q)$-elliptic integrals2015 •
In this paper authors study the generalized $(p,q)$-elliptic integrals of the first and second kind in the mean of generalized trigonometric functions, and establish the Tur\'an type inequalities of these functions.
Proceedings of the 36th international symposium on Symbolic and algebraic computation - ISSAC '11
Special values of generalized log-sine integrals2011 •
Российская археология
ОСНОВАНИЕ НАВЕРШИЯ МЕЧА ИЗ СУЗДАЛЬСКОГО ОПОЛЬЯ: РЕКОНСТРУКЦИЯ ДЕКОРА2023 •
Schweizer Münzblätter= …
Les potins" à la grosse tête": une nouvelle évaluation typologique (avec A. Geiser, K. Gruel et L. Jeunot)2009 •
Plant, Cell & Environment
Plasma membrane H+‐ATPase‐dependent citrate exudation from cluster roots of phosphate‐deficient white lupin2009 •
BMJ Global Health
Abstracts of the Eighth EDCTP Forum, 6–9 November 20162017 •
2020 •
Journal of orthopaedics
Dual plate fixation results in improved union rates in comminuted distal femur fractures compared to single plate fixation2020 •
William and Mary Bill of Rights Journal
Notice and Standing in the Fourth Amendment: Searches of Personal Data2017 •
2022 •
2019 •
Journal of Analytical Science and Technology
A method for the determination of ZnDDP in lubricant oils by applying solid-phase extraction with mixed resin2013 IEEE 31st International Conference on Computer Design (ICCD)
Memory-centric accelerator design for Convolutional Neural Networks2013 •