Some families of generating functions for the Jacobi and related orthogonal polynomials

DOI10.1006/jmaa.1999.6509zbMath0944.33008OpenAlexW2046284886MaRDI QIDQ1125298

Laura Sacripante, Giovanna Pittaluga, Hari M. Srivastava

Publication date: 27 September 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6509

zbMATH Keywords

generating functionsJacobi polynomialsLauricella functiongroup-theoretic method

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (8)

Miscellaneous properties of some multivariable polynomials ⋮ Certain classes of generating functions for the Jacobi and related hypergeometric polynomials. ⋮ Unnamed Item ⋮ A unified study of orthogonal polynomials via Lie algebra ⋮ Summation identities involving certain classes of polynomials ⋮ Some \(q\)-genrating functions and associated generalized hypergeometric polynomials ⋮ On a multivariable extension for the extended Jacobi polynomials ⋮ Exact solution for the hypergeometric Green’s function describing spectral formation in x-ray pulsars

Cites Work

• Some general theorems on generating functions and their applications
• Orthogonality relations and generating functions for Jacobi polynomials and related hypergeometric functions
• Generating functions on extended Jacobi polynomials from Lie group view point
• Lie theory and special functions
• A Class of Generating Functions for the Jacobi and Related Polynomials
• Some novel generating functions of extended Jacobi polynomials by group theoretic method
• The Generating Function of Jacobi Polynomials
• A class of bilateral generating functions for certain classical polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some families of generating functions for the Jacobi and related orthogonal polynomials