A combinatorial approach to the 2D-Hermite and 2D-Laguerre polynomials

DOI10.1016/j.aam.2014.12.002zbMath1305.33026OpenAlexW2078517641MaRDI QIDQ2255000

Mourad E. H. Ismail, Zeng, Jiang

Publication date: 6 February 2015

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2014.12.002

zbMATH Keywords

inequalitiespositivitylinearization coefficientselementary symmetric functionsKibble-Slepian formula2D-Hermite polynomials2D-Laguerre polynomialsshifted Laguerre polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Other hypergeometric functions and integrals in several variables (33C70) Asymptotic enumeration (05A16) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (10)

Multivariate holomorphic Hermite polynomials ⋮ Holomorphic Hermite polynomials in two variables ⋮ Kibble-Slepian formula and generating functions for 2D polynomials ⋮ A review of multivariate orthogonal polynomials ⋮ Modified 2D-complex Hermite polynomials: their quasi-monomiality and operational identities ⋮ Combinatorial and analytic properties of the \(n\)-dimensional Hermite polynomials ⋮ Generalized operational matrices and error bounds for polynomial basis ⋮ Report from the open problems session at OPSFA13 ⋮ Classes of bivariate orthogonal polynomials ⋮ Lie-type operational approach to modified 2D-Laguerre polynomials

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