On Crofton-Glaisher type relations and derivation of generating functions for Hermite polynomials including the multi-index case

DOI10.1080/10652460701358984zbMath1140.44002OpenAlexW2086237646MaRDI QIDQ5458004

Subuhi Khan, Paolo Emilio Ricci, Giuseppe Dattoli

Publication date: 10 April 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701358984

zbMATH Keywords

Hermite polynomials Laguerre polynomials Fokker-Plank equation exponential operator Glaisher identity Crofton rule Glaisher rule

Mathematics Subject Classification ID

Calculus of Mikusi?ski and other operational calculi (44A40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) PDEs in connection with quantum mechanics (35Q40)

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