Fractional Calculus Involving Analytic Functions

The book is categorized into six chapters beginning with chapter 0 which is an introductory part and the remaining five chapters showing research contribution in the relevant area.In this book, an investigation of several properties of statistical distributions using Saigo's modified fractional integral operator is done. A new definition of a family of distribution involving product combinations of elementary functions and hypergeometric functions is given, then it is applied to certain generalized forms of univariate as well as multivariate statistical distributions. Results giving the expectations, characteristic functions, cumulative functions and moment generating functions of special function distribution are obtained. This book envisages coefficient properties of functions belonging to the class of meromorphic multivalent functions in the punctured disk, characterization properties satisfied by certain class of fractional integral operators of analytic functions, the starlikeness and the convexity of functions. The boundedness properties and sharp integral mean inequalities of fractional derivatives of certain geometric functions with negative coefficients are also discussed.