Some generating functions of the Laguerre and modified Laguerre polynomials.

DOI10.1016/S0096-3003(99)00081-8zbMath1033.33008OpenAlexW2061290300MaRDI QIDQ5931606

Laura Sacripante, Giovanna Pittaluga, Hari M. Srivastava

Publication date: 25 April 2001

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00081-8

zbMATH Keywords

generating functionsRodrigues formulaBurchnall-Chaundy formulageneralized hypergeometric functiongroup theoretic methodHille-Hardy formulaeLaguerre polynomialsorthogonality propertyPoisson-Charlier polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (2)

Certain classes of generating functions for the Jacobi and related hypergeometric polynomials. ⋮ Unnamed Item

Cites Work

• An extension of bilateral generating functions of modified Laguerre polynomials
• Group-theoretic origins of certain generating functions of the modified Laguerre polynomials
• Orthogonality relations and generating functions for Jacobi polynomials and related hypergeometric functions
• Some general families of generating functions for the Laguerre polynomials
• Lie theory and special functions
• The Confluent Hypergeometric Function
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)
• A class of bilateral generating functions for certain classical polynomials
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