A NEW SPECIAL FUNCTION NEW ADVANCED MODIFIED MM- FUNCTION AND FRACTIONAL CALCULUS

Abstract

In recent year’s many special functions given by mathematicians, here a new function termed as New Advanced Modified Mm-   function has been introduced. This Function is a particular case of H-function given in [2, 3]. This function is important because hypergeometric function and Mittag-Leffler function follow as particular cases and these functions have great significance in the context of problems in physics, biology, engineering and applied sciences. It is to be noted that Mittag-Leffler [4, 5] function occurs as solution of fractional integral equations in those subjects. In this paper we have also obtained the fractional integration and fractional differentiation of New Advanced Modified Mm-   function.