The present paper deals with the new generalization of a Q function using generalized Mittag-Leffler function .The Mittag-Leffler function arises usually in the solution of fractional order differential equation and fractional order integral equations. Various Integral Transforms such as Laplace transform, Fourier transform, Euler beta transform and Whittaker transform with their several special cases are obtained to illustrate our main results.
Keywords and Phrases
Mittag-Leffler function; Generalized Mittag-Leffler function; Laplace transform; Fourier transform; Euler beta transform; Whittaker transform.
A.M.S. subject classiﬁcation
33E12, 44A10, 26A33.