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SOME INCLUSION PROPERTIES FOR CERTAIN K-UNIFORMLY SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH WRIGHT FUNCTION

Journal: INTERNATIONAL JOURNAL OF RESEARCH -GRANTHAALAYAH (Vol.7, No. 9)

Publication Date:

Authors : ;

Page : 218-229

Keywords : Analytic Functions; K-Uniformly Starlike Functions; K-Uniformly Convex Functions; K-Uniformly Close-To-Convex Functions; K-Uniformly Quasi-Convex Functions; Hadamard Product; Subordination;

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Abstract

A new operator n n n n f z z a z n n ( ) 4 ( ) ( ( 1) ) , 2 ( 1) 1 ( )               W    is introduced for functions of the form   n n n f z  z   a z  2 which are analytic in the open unit disk U  z C: z 1 . We introduce several inclusion properties of the new k-uniformly classes US ;k;   , UC;k; , UK;k; ,  and UK ;k; ,  of analytic functions defined by using the Wright function with the operator  W, and the main object of this paper is to investigate various inclusion relationships for these classes. In addition, we proved that a special property is preserved by some integral operators.

Last modified: 2019-10-05 12:58:44