On a class of two-index real Hermite polynomials

zbMATH Open1389.33004arXiv1211.5745MaRDI QIDQ2826161

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Publication date: 10 October 2016

Published in: (Search for Journal in Brave)

Abstract: We introduce a class of doubly indexed real Hermite polynomials and we deal with their related properties like the associated recurrence formulae, Runge's addition formula, generating function and Nielsen's identity.

Full work available at URL: https://arxiv.org/abs/1211.5745

zbMATH Keywords

generating function Nielsen's identity Runge's addition formula two-index Hermite polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

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