Properties of Certain Class of Uniformly Starlike and Convex Functions Defined by Convolution

Abstract

The aim of this paper is to obtain the modified Hadamard products and properties associated with generalized fractional calculus operators for functions belonging to the class T S γ (f, g; α, β) of β-uniformly univalent functions defined by convolution.

Some Characterizations for a Certain Generalized Bessel Function of the First Kind to Be in Certain Subclasses of Analytic Functions

“…0 . To establish our main results, we shall require the following lemmas: Lemma 1 ( [2]). The sufficient condition for a function f of the form (1.1) to be in the class…”

Class of Analytic Function Related with Uniformly Convex and Janowski’s Functions

“…The abovementioned few classes were widely investigated by many authors in the last decades; see [4,[8][9][10][11][12][13][14][15]…”

A Subclass of Analytic Functions Related tok-Uniformly Convex and Starlike Functions

“…In recent years, more and more researchers are interested in the above defined classes (see [9,11,[14][15][16][17][18][19][20][21][22]). …”