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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.24 No.1

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LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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.
Bin-Saad, Maged G.
Shahwan,, M. , & Bin-Saad,, M. G. (2017). LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 24(1), 35-44, https://doi.org/10.7468/jksmeb.2017.24.1.35

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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