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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 three- variable Hermite Polynomials Hn(x; y; z) introduced recently in [2]. Certain gener- ating relations for the polynomials related to Hn(x; y; z) are also obtained as special cases.
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참고문헌 (17)
참고문헌 신청
A.Wawrzy / 1984 / Group Representation and Special Functions / PWN-Polish Scientific Publ
D. Babusci / 2012 / On integrals involving Hermite polynomials / Applied Mathematics Letters 25 : 1157 ~ 1160
E.D. Rainville / 1971 / Special Functions / Chelsea Publ. Co
G. Dattoli / 1998 / Operational rules and arbitrary order Hermite generating functions / J. Math. Anal. Appl 227 : 98 ~ 111
G. Dattoli / 2000 / Generalised polynomials,operational identities and their applications / J. Comput. Appl. Math 118 : 111 ~ 123
D. Babusci / 2012 / On integrals involving Hermite polynomials / Applied Mathematics Letters 25 : 1157 ~ 1160
E.D. Rainville / 1971 / Special Functions / Chelsea Publ. Co
G. Dattoli / 1998 / Operational rules and arbitrary order Hermite generating functions / J. Math. Anal. Appl 227 : 98 ~ 111
G. Dattoli / 2000 / Generalised polynomials,operational identities and their applications / J. Comput. Appl. Math 118 : 111 ~ 123
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