Differential inequalities for certain analytic functions

Coefficient Inequalities for Certain Analytic Functions

Certain Inequalities for a General Class of Analytic and Bi-univalent Functions

In this work, the subclass of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor- Maclaurin series of bi-univalent functions belonging these class are obtained. By choosing the special values for parameters and functions it is shown that the class reduces to several earlier known classes of analy...

Coefficient Inequalities for Certain Classes of Analytic and Univalent Functions

For functions f(z) which are starlike of order α, convex of order α, and λ-spirallike of order α in the open unit disk U, some interesting sufficient conditions involving coefficient inequalities for f(z) are discussed. Several (known or new) special cases and consequences of these coefficient inequalities are also considered.

On Sandwich theorems for certain classes of analytic functions

The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

CERTAIN SUFFICIENT CONDITIONS FOR CLOSE-TO-CONVEXITY OF ANALYTIC FUNCTIONS

The object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk