Applications of Fractional Calculus Operator to Obtaining Certain General Class of Finite Integrals

Unifying and extending results using fractional calculus

Abstract

The object of the this paper are to find two general class of unified finite integrals. We use the technique of Euler integral formula and fractional integral operator in applications. These integrals involve the product of the function, a generalized polynomial set and generalized associated Legendre function of second kind with arguments of the form . Some special cases and applications are also discussed. Since functions and polynomials occurring in these integrals are general in nature, these results provide interesting unifications and extensions of a large number of new and known results.