Hermite Polynomials
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Recent papers in Hermite Polynomials
We evaluate an important definite integral involving the Hermite Polynomials. We also investigate the role of the Hermite polynomials in the wavefunctions of the quantum harmonic oscillator.
A description of Orthogonal Tensor Hermite Polynomials in 3-D is presented. These polynomials, as introduced by Grad in 1949 [1], can be used to obtain a series solution to the Boltzmann Transport Equation. The properties that are... more
We introduce degenerate Hermite polynomials as a degenerate version of the ordinary Hermite polynomials. Then, among other things, by using the formula about representing one lambda-Sheffer polynomial in terms of other lambda-Sheffer... more
In recent years there has been a renewed interest in finding fast algorithms to compute accurately the linear canonical transform (LCT) of a given function. This is driven by the large number of applications of the LCT in optics and... more
The purpose of this paper is to introduce and investigate new unification of unified family of Apostol-type polynomials and numbers based on results given in [1] [2]. Also, we derive some properties for these polynomials and obtain some... more
2002 Vernor Arguedas Troyo / Roberto Mata Montero INTERPOLACIÓN DOBLE DE HERMITE Y SU APLICACIÓN A MÉTODOS RUNGE-KUTTA InterSedes: Revista de las Sedes Regionales, mayo, año/vol. III, número 005 Universidad de Costa Rica Ciudad ...
The main result of the paper is the use of orthogonal Hermite polynomials as the basis functions of feedforward neural networks. The proposed neural networks have some interesting properties: (i) the basis functions are invariant under... more
We study Hermite orthogonal polynomials and Gram matrices of their non-standard inner products. The weight function of the non-standard inner product is obtained from the Gauss probability density function by its horizontal shift by a... more