STARLIKENESS AND CONVEXITY OF INTEGRAL OPERATORS INVOLVING MITTAG-LEFFLER FUNCTIONS

STARLIKENESS AND CONVEXITY OF INTEGRAL OPERATORS INVOLVING MITTAG-LEFFLER FUNCTIONS

B. A. Frasin

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Abstract

In this paper, we shall  nd the order of starlikeness and convexity for integral operators F j; j; j ; (z) = 8< :  Zz 0 t ????1 Yn j=1   E j; j (t) t  1= j dt 9= ; 1=  ; where the functions E j; j are the normalized Mittag-Le er functions.

Keywords

Analytic functions; Starlike and convex functions; Integral operators; Mittag- Le er function.