LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2017, v.24 no.1, pp.35-44

https://doi.org/10.7468/jksmeb.2017.24.1.35

Shahwan, M.J.S. (Department of Mathematics, University of Bahrain)
Bin-Saad, Maged G. (Department of Mathematics, Aden University)

Shahwan, M.J.S., & Bin-Saad, Maged G.. (2017). LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS. 한국수학교육학회지시리즈B:순수및응용수학, 24(1), 35-44, https://doi.org/10.7468/jksmeb.2017.24.1.35

복사

Abstract

The present paper aims at harnessing the technique of Lie Algebra and operational methods to derive and interpret generating relations for the three-variable Hermite Polynomials <TEX>$H_n$</TEX>(x, y, z) introduced recently in [2]. Certain generating relations for the polynomials related to <TEX>$H_n$</TEX>(x, y, z) are also obtained as special cases.

keywords: generalized Hermite polynomials, Lie-algebra representation, generating relations, operational methods

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논문 상세

Vol.24 No.1

LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS

LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS

Abstract

한국수학교육학회지시리즈B:순수및응용수학