DIFFERENTIAL INEQUALITIES FOR CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY KOMATU INTEGRAL OPERATOR, By Samira Rahrovi

Research

Title	DIFFERENTIAL INEQUALITIES FOR CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY KOMATU INTEGRAL OPERATOR
Type	Presentation
Keywords	Univalent function, starlike function, convex function, Jack0 lemma, integral operator.
Researchers	Samira Rahrovi، Ali Ebadian، Saeed Shams، Y. Rahrovi

Abstract

Abstract. In the present paper, using Jack0 lemma, the authors investigate the differential inequality |(1 − α) L λ+1 a f(z) z + α L λ a f(z) L λ+1 a f(z) − 1| < µ, z ∈ U, regarding univalent functions defined by integral operator in the open unit disk U = {z : |z| < 1}. As consequences, sufficient conditions for univalence, starlikeness and strongly starlikeness of certain analytic functions are obtained.