Some applications of fractional calculus operators to obtain classes of analytic and multivalent functions (Q1073949)

Let \({\mathcal T}(p)\) be the class of analytic and p-valent functions with negative coefficients. Also let \({\mathcal T}^*(p,\alpha)\) and \({\mathcal C}(p,\alpha)\) denote the subclasses of \({\mathcal T}(p)\) consisting of p- valent starlike functions of order \(\alpha\), respectively. The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the classes \({\mathcal T}^*(p,\alpha)\) and \({\mathcal C}(p,\alpha)\). By specializing the parameters involved, the corresponding results for several interesting subclasses of analytic functions can easily be deduced.