A Certain Subclass of Multivalent Analytic Functions Defined by Fractional Calculus Operator
Jamal M. Shenan *
Department of mathematics, Alazhar University-Gaza, P. O. Box 1277, Gaza, Palestine.
Ghazi S. Khammash
Department of mathematics, Al-Aqsa University, Gaza Strip, Palestine.
*Author to whom correspondence should be addressed.
Abstract
In this paper we introduce a new subclass of multivalent analytic functions defined by fractional calculus operator. Such results as subordination and superordination properties, convolution properties, inequality properties and other interesting properties of this subclass are proved.
Keywords: Analytic function, multivalent function, fractional differintegral operator, convex univalent function, hadamard product, subordination, superordination.