Generating functions involving Hermite-Laguerre polynomials using operational methods

DOI10.1016/J.AMC.2014.04.050zbMath1334.33023OpenAlexW2036226219MaRDI QIDQ274305

Ahmed Ali Al-Gonah

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.050

zbMATH Keywords

generating functionsHermite-Laguerre polynomialsoperational methods

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

• Lacunary generating functions for the Laguerre polynomials
• Bilateral generating functions and operational methods
• Generalized polynomials and associated operational identities
• Some results involving Hermite-base polynomials and functions using operational methods
• Derivation of the Hille-Hardy type formulae and operational methods
• New classes of Hermite–Tricomi functions and generating relations
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