Jacobi polynomials: Combinatorics of the basic identities

DOI10.1016/0012-365X(85)90166-9zbMath0584.05009OpenAlexW2047510883MaRDI QIDQ1070230

Pierre Leroux, Strehl, Volker

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(85)90166-9

zbMATH Keywords

generating functionJacobi-polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

The mathematical life of Pierre Leroux ⋮ Some combinatorics of the hypergeometric series ⋮ Combinatorics of Jacobi-configurations. III: The Srivastava-Singhal generating function revisited ⋮ Combinatorial proofs of symmetry formulas for the generalized hypergeometric series ⋮ Combinatorial proofs of some limit formulas involving orthogonal polynomials ⋮ Combinatorial probability interpretation of certain modified orthogonal polynomials ⋮ The Combinatorics of Laguerre, Charlier, and Hermite Polynomials ⋮ Unnamed Item ⋮ Self-similarity in the combinatorial theory of orthogonal polynomials ⋮ On the combinatorics of the Boros-Moll polynomials ⋮ Combinatoire des polynômes orthogonaux classiques: Une approche unifiée. (Combinatorics of classical orthogonal polynomials: A unified approach) ⋮ On the combinatorics of the Pfaff identity ⋮ A generalized truncated logarithm

Cites Work

• Group-theoretic origin of certain generating functions
• Modèles combinatoires pour les polynômes de Meixner
• Une théorie combinatoire des séries formelles
• Some generating functions for Laguerre polynomials
• Polynomes de Jacobi, Interpretation Combinatoire et Fonction Generatrice
• Generating Functions for Bessel and Related Polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item