Some multilinear generating functions

DOI10.1007/BF02844408zbMath0522.33002OpenAlexW1979609241MaRDI QIDQ1055939

Hari M. Srivastava

Publication date: 1984

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844408

zbMATH Keywords

Jacobi polynomialsHermite polynomialsLaguerre polynomialsbiorthogonal polynomialsmultiple hypergeometric generating function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General harmonic expansions, frames (42C15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Multilinear generating functions for Jacobi polynomials and for their two-variable generalizations
• Operational formulas connected with two generalizations of Hermite polynomials
• Note on Some formulas involving the products of several Jacobi or Laguerre polynomials
• Biorthogonal polynomials suggested by the Laguerre polynomials
• Some Generating Functions for Laguerre and Hermite Polynomials
• Some Analytic or Asymptotic Confluent Expansions for Functions of Several Variables
• Multilinear Generating Function for the Konhauser Biorthogonal Polynomial Sets
• Certain Results Involving Generalized Hypergeometric Functions
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