ON UNIFIED FINITE INTEGRALS INVOLVING I_3 FUNCTION, GENERALIZED MITTAG-LEFFLER FUNCTION AND APPELL POLYNOMIALS

摘要

In this paper, we evaluate unified finite integral whose integrand involves the product of generalized form of the astrophysical thermonuclear functions /3, Appell polynomials and Generalized Mittag-Leffler Function. Further, its argument contains the factors of the form x~(λ-1) (a - x)~(σ-1) (1 - ux~?) - p. On account of the most general nature of the functions occurring in the integrand, a large number of new integrals can easily be obtained from it merely by specializing the functions and parameters involved therein. For the sake of illustration, we obtain herein three new integrals involving the functions namely: Steady State Function, Cesaro Polynomial, Laguerre Polynomial, Shively Polynomaial, Generalized Wrights Hypergeometric Function, Bessel Maitland Function, Generalization of the Mittag-Leffler Function.