Some families of generating functions for the extended Srivastava polynomials

Autor:	M. Ali Özarslan
Rok vydání:	2011
Předmět:	Discrete mathematics Gegenbauer polynomials Applied Mathematics Discrete orthogonal polynomials Classical orthogonal polynomials Computational Mathematics symbols.namesake Difference polynomials Wilson polynomials Hahn polynomials Orthogonal polynomials symbols Jacobi polynomials Mathematics
Zdroj:	Applied Mathematics and Computation. 218:959-964
ISSN:	0096-3003
DOI:	10.1016/j.amc.2011.01.064
Popis:	Almost four decades ago, H.M. Srivastava considered a general family of univariate polynomials, the Srivastava polynomials, and initiated a systematic investigation for this family [10] . In 2001, B. Gonzalez, J. Matera and H.M. Srivastava extended the Srivastava polynomials by inserting one more parameter [4] . In this study we obtain a family of linear generating functions for these extended polynomials. Some illustrative results including Jacobi, Laguerre and Bessel polynomials are also presented. Furthermore, mixed multilateral and multilinear generating functions are derived for these polynomials.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::85d7158aa9be74d28d66b802f7de6d93 https://doi.org/10.1016/j.amc.2011.01.064 Zobrazit plný text záznamu Full Text from ScienceDirect