Fractional Calculus of Saigo Fractional Integral Operator on Univalent and P-Valent Function

Harish Nagar, Seema Kabra

Abstract: In this paper, we apply the fractional calculus technique for the class UT (n, p, ,) and Q_m (, ,) which consists of p-valent and univalent functions with Negative coefficients by using the definition of fractional differentiation, and Integration, we establish four distortion theorems. The theorems 1 to 4 are established for the Saigo Fractional Integral Operator I_ (0, z) ^ (, ,) applying on the classes of p-valent functions.

Keywords: Fractional Calculus, Univalent Function, p-valent function, Special Function, Saigo Fractional Integral Operator