Miscellaneous results on the generating functions of special functions

DOI10.1080/10652460108819354zbMath1023.33006OpenAlexW2011914329MaRDI QIDQ4409760

C. Cesarano, Dario Sacchetti, Giuseppe Dattoli

Publication date: 30 June 2003

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

Full work available at URL: https://doi.org/10.1080/10652460108819354

zbMATH Keywords

generating functionsChebyshev polynomialsHermite polynomialsLaguerre polynomialsBessel polynomialsBorel theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (3)

Modified relativistic Laguerre polynomials. monomiality and Lie algebraic methods ⋮ Pochhammer symbol with negative indices. A new rule for the method of brackets ⋮ Generating functions via integral transforms

Cites Work

• Generalized polynomials and associated operational identities
• The quantum relativistic harmonic oscillator: Spectrum of zeros of its wave functions
• The relativistic Hermite polynomial is a Gegenbauer polynomial
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