Some Classes of Generating Functions for the Laguerre and Hermite Polynomials

DOI10.2307/2006433zbMath0356.42015OpenAlexW4252992526MaRDI QIDQ4129271

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Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2006433

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (3)

Some new generating functions for the Hermite polynomials ⋮ On expansion problems involving addition theorems and Kapteyn series ⋮ Free Jacobi process associated with one projection: local inverse of the flow

Cites Work

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• Operational formulas connected with two generalizations of Hermite polynomials
• On zero type sets of Laguerre polynomials
• Some generating functions for Laguerre polynomials
• A Generalized Hermite Distribution and Its Properties
• Generating Functions for the Jacobi Polynomial
• On Expansion Problems: New Classes of Formulas for the Classical Functions
• A New Class of Generating Functions for Hypergeometric Polynomials
• Some generating functions

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