d-orthogonality of a generalization of both Laguerre and Hermite polynomials

Mongi Blel; Youssèf Ben Cheikh

doi:10.1515/gmj-2018-0043

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d-orthogonality of a generalization of both Laguerre and Hermite polynomials

Journal article

Peer reviewed

d-orthogonality of a generalization of both Laguerre and Hermite polynomials

Mongi Blel and Youssèf Ben Cheikh

Georgian mathematical journal, Vol.27(2), pp.183-190

01/06/2020

DOI: https://doi.org/10.1515/gmj-2018-0043

Abstract

33C20

33C45

42C05

generalizedhypergeometric polynomials

generating functions

Hermite polynomials

Laguerre polynomials

In this work, we give a unification and generalization of Laguerre and Hermite polynomials for which the orthogonal property is replaced by -orthogonality. We state some properties of these new polynomials.

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Title: d-orthogonality of a generalization of both Laguerre and Hermite polynomials
Creators - without role: Mongi Blel - King Saud University
Youssèf Ben Cheikh - University of Monastir
Publication Details: Georgian mathematical journal, Vol.27(2), pp.183-190
Publisher: De Gruyter
Number of pages: 8
Identifiers: 9949197508331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article