LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS
LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS
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.