Biorthogonal polynomials suggested by the Hermite polynomials
type: Item
instance of: scholarly article
title: Biorthogonal polynomials suggested by the Hermite polynomials
zbMATH Open document ID: 0605.33009
author: N. K. Thakare
author: H. C. Madhekar
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1986-01-01T00:00:00Z
review text: By making use of the classical relations that exist between the odd and even degree Laguerre polynomials and the corresponding Hermite polynomials, and the explicit representations for the \textit{J. D. E. Konhauser}'s [J. Math. Anal. Appl. 11, 242-260 (1965; Zbl 0125.315)] biorthogonal pair of polynomials related with Laguerre polynomials, the authors introduce here the biorthogonal pair of polynomials suggested by Hermite polynomials, and obtain certain generating and recurrence relations for them by particularizing the corresponding known relations for Konhauser's pair of polynomials.
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 3977425
zbMATH Keywords: biorthogonal polynomials
zbMATH Keywords: Laguerre polynomials
zbMATH Keywords: Hermite polynomials
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3977425