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
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)
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
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