Coefficient Bounds for Certain Subclasses ofm-Fold Symmetric Biunivalent Functions

Coefficient Estimates for a New Subclasses of m-fold Symmetric Bi-Univalent Functions

The purpose of the present paper is to introduce two new subclasses of the function class ∑m  of bi-univalent functions which both f  and f-1  are m-fold symmetric analytic functions. Furthermore, we obtain estimates on the initial coefficients for functions in each of these new subclasses. Also we explain the relation between our results with earlier known results.

Coefficient Bounds for Certain Subclasses of Bi-univalent Functions

In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions. Also, we find estimates of |a2| and |a3|. Some related consequences of the results are also pointed out. Mathematics Subject Classification: 30C45

Certain Coefficient Bounds for p-Valent Functions

Coefficient estimates for general subclasses of m-fold symmetric analytic bi-univalent functions

In this work, we introduce and investigate two new subclasses of the bi-univalent functions in which both f and f−1 are m -fold symmetric analytic functions. For functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for |am+1| and |a2m+1| .

Some Properties for Certain Subclasses of k-fold Symmetric Functions with Fractional Powers

In the present paper, we discuss some inclusion relations between certain subclasses of k-fold symmetric functions with fractional powers. Their several interesting and important consequences along with some examples are then discussed.