On a family of hybrid polynomials

DOI10.1080/10652460412331270634zbMath1062.33009OpenAlexW1964987089MaRDI QIDQ4659491

S. Lorenzutta, Paolo Emilio Ricci, C. Cesarano, Giuseppe Dattoli

Publication date: 21 March 2005

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

Full work available at URL: https://doi.org/10.1080/10652460412331270634

zbMATH Keywords

Hermite polynomialsLaguerre polynomialsmonomiality principle

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions defined by series and integrals (33E20) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Classical operational calculus (44A45)

Related Items (11)

The Ramanujan master theorem and its implications for special functions ⋮ Theory of generalized trigonometric functions: from Laguerre to Airy forms ⋮ On generalized Fibonacci and Lucas hybrid polynomials ⋮ Operational Methods and New Identities for Hermite Polynomials ⋮ Sums of finite products of Legendre and Laguerre polynomials ⋮ A note on degenerate Hermite poly-Bernoulli numbers and polynomials ⋮ On a new family related to truncated exponential and Sheffer polynomials ⋮ Definite integrals and operational methods ⋮ Motzkin Numbers: an Operational Point of View ⋮ Generalizations on Humbert polynomials and functions ⋮ Generalized special functions in the description of fractional diffusive equations

Cites Work

• The Laguerre and Legendre polynomials from an operational point of view.
• Unnamed Item

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