Reduction formulas associated with series involving arbitrary coefficients

Abstract

In the present investigation two different classes of reduction formulas are derived in terms of series involving arbitrary coefficients. Multidimensional analogues are also obtained. Applications of the main results include various examples on reduction formulas incorporating the generalized hypergeometric functions, the Laguem polynomials and certain multivariable special functions? KEY WORDS: reduction formulas, generalized hypergeometric function, R -L fractional operator, generalized Leibniz rule, Lauricella function, Laguerre polynomials MSC (1991): 33C20, 33C35