Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients (Q1903764)

The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the subclasses \(R[\alpha, \beta]\) and \(C[\alpha, \beta]\) consisting of prestarlike and normalized analytic functions with negative coefficients. Furthermore, distortion theorems involving a generalized fractional integral operator for functions in the subclasses \(R[\alpha, \beta]\) and \(C[\alpha, \beta]\) are given.