SUBCLASSES OF k-UNIFORMLY CONVEX AND k-STARLIKE FUNCTIONS DEFINED BY SĂLĂGEAN OPERATOR

Title & Authors
SUBCLASSES OF k-UNIFORMLY CONVEX AND k-STARLIKE FUNCTIONS DEFINED BY SĂLĂGEAN OPERATOR
Seker, Bilal; Acu, Mugur; Eker, Sevtap Sumer;

Abstract
The main object of this paper is to introduce and investigate new subclasses of normalized analytic functions in the open unit disc $\small{\mathbb{U}}$, which generalize the familiar class of k-starlike functions. The various properties and characteristics for functions belonging to these classes derived here include (for example) coefficient inequalities, distortion theorems involving fractional calculus, extreme points, integral operators and integral means inequalities.
Keywords
S$\small{\breve{a}}$l$\small{\breve{a}}$gean operator;k-starlike;k-uniformly convex;coefficient inequalities;distortion inequalities;extreme points;integral means;fractional derivative;integral operators;
Language
English
Cited by
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