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International Journal of Statistika And Mathematika ISSN: 2277-2790 E-ISSN: 2249-8605

Volume 2, Issue 3, 2012 pp 27-34

Research Article

Appell transforms associated with L²- expansions in terms of generalized heat polynomials

B.B.Waphare

MAEER�s MIT ACSC, Alandi, Tal: Khed, Dist: Pune, Pune � 412 105,(MS) INDIA

Academic Editor: Dr. Jadhav V.A.

The main purpose of this paper is to characterize functions which have expansions in terms of polynomial solutions  of the generalized heat equation                                        (A)

and in terms of the Appell transforms  of the . denotes the class of functions  which, for  satisfy (A) and for which

for all ,  the integral converging absolutely; where  is the source solution of (A).