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

LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS