Hermite polynomials with more than two variables and associated bi-orthogonal functions

DOI10.1080/10652460801933678zbMath1173.33006OpenAlexW2036463001MaRDI QIDQ3605076

Paolo Emilio Ricci, Giuseppe Dattoli, Bruna Germano

Publication date: 19 February 2009

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

Full work available at URL: https://doi.org/10.1080/10652460801933678

zbMATH Keywords

bi-orthogonalityBell-type polynomialsGould Hopper polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (9)

On fractional calculus of \(\mathcal A_{2n+1}(x)\) function ⋮ Two-dimensional \((p, q)\)-heat polynomials of Gould-Hopper type ⋮ Generalized and mixed type Gegenbauer polynomials ⋮ Operational methods and Laguerre-Gould Hopper polynomials ⋮ On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\) ⋮ Generalized Hermite- based Apostol- Bernoulli, Euler, Genocchi polynomials and their relations ⋮ A unified study of orthogonal polynomials via Lie algebra ⋮ Generating functions for generalized Hermite polynomials associated with parabolic cylinder functions ⋮ A Generalization of Class of Humbert - Hermite Polynomials

Cites Work

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• Operational formulas connected with two generalizations of Hermite polynomials
• A representation theory for solutions of a higher order heat equation. I
• A representation theory for solutions of a higher order heat equation. II
• Integral transforms and Chebyshev-like polynomials.
• Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions

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