Some properties of generalized multiple Hermite polynomials

DOI10.1016/j.cam.2011.02.002zbMath1223.42019OpenAlexW2053043282MaRDI QIDQ555190

Cem Kaanoğlu, M. Ali Özarslan

Publication date: 22 July 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.02.002

zbMATH Keywords

generating functionRodrigues formulamultiple Hermite polynomialsmultiple Laguerre I polynomialsoperational formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (2)

Some properties of a new class of analytic functions defined via Rodrigues formula ⋮ On a family of multivariable polynomials defined through Rodrigues type formula

Cites Work

• Operational formulas connected with two generalizations of Hermite polynomials
• On the unification of generalized Hermite and Laguerre polynomials
• Some families of generating functions associated with the Stirling numbers of the second kind
• Some polynomial systems associated with a certain family of differential operators
• A new summation identity for the Srivastava-Singhal polynomials
• On a generalization of Laguerre polynomials
• A generalization of Laguerre polynomials
• A note on certain biorthogonal polynomials
• A class of polynomials defined by generalized Rodrigues' formula
• A limit relationship between Laguerre and Hermite polynomials
• Properties of multiple Hermite and multiple Laguerre polynomials by the generating function
• Generating Functions for Bessel and Related Polynomials
• Some classical multiple orthogonal polynomials
• Unnamed Item
• Unnamed Item

This page was built for publication: Some properties of generalized multiple Hermite polynomials