Article ID Journal Published Year Pages File Type
1709464 Applied Mathematics Letters 2011 5 Pages PDF
Abstract

A normalized analytic function ff defined on the open unit disk is a Janowski starlike function if zf′(z)/f(z)zf′(z)/f(z) is subordinated to (1+Az)/(1+Bz)(1+Az)/(1+Bz), where AA and BB are complex numbers satisfying the conditions |B|≤1|B|≤1 and A≠BA≠B. In this paper, a new class of analytic functions defined by means of subordination is introduced. Sufficient conditions are obtained for functions in this class to be Janowski starlike. The results obtained extend earlier known works.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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