Certain hypergeometric generating relations using Gould's identity and their generalizations

zbMath1415.33003MaRDI QIDQ2422069

Mohammad Idris Qureshi, Sulakshana Bajaj

Publication date: 18 June 2019

Published in: Asia Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://apjm.apacific.org/PDFs/5-1-92-108.pdf

zbMATH Keywords

Jacobi polynomialsgeneralized Laguerre polynomialGould's identitygeneralized Rice polynomial of Khandekar

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

• Note on the generating function for generalized hypergeometric polynomials
• A class of generating functions for generalized hypergeometric polynomials
• Some Generalizations of Vandermonde's Convolution
• New Generating Functions for Classical Polynomials
• Generating Functions for Jacobi and Laguerre Polynomials
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