Polynomials Defined by Generating Relations

DOI10.2307/1996161zbMath0257.33014OpenAlexW4235310790MaRDI QIDQ5673198

Hare Ballabh Mittal

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996161

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special functions (33E99)

Related Items

Some Polynomials Defined by Generating Relations, Combinatorial identities of Engelberg and Jensen's formula, A Note on New Generating Relations for Functions of Several Variables

Cites Work

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• Group-theoretic origin of certain generating functions
• The Bessel polynomials
• Some functions related to the Bessel polynomials
• Operational formulas connected with two generalizations of Hermite polynomials
• On a generalization of Laguerre polynomials
• On zero type sets of Laguerre polynomials
• Some generating functions for Laguerre polynomials
• On Burchnall's Generating Relation for Bessel Polynomials
• On the Sheffer A-type of Certain Modified Polynomial Sets
• A New Class of Orthogonal Polynomials: The Bessel Polynomials
• Some generalized hypergeometric polynomials
• Generating Functions for Bessel and Related Polynomials