论文信息 - Some applications of fractional calculus operators to certain classes of analytic and multivalent functions

Some applications of fractional calculus operators to certain classes of analytic and multivalent functions

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

Hari M. Srivastava | Shigeyoshi Owa

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