Some coefficient inequalities and distortion bounds associated with certain new subclasses of analytic functions

Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain

The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequen...

Some Coefficient Inequalities for Certain Subclasses of Analytic Functions with respect to k-Symmetric Points

In the present paper, we introduce two new subclasses B (k) λ (α) and L (k) λ (α) of analytic functions with respect to k-symmetric points. Some coefficient inequalities for functions belonging to these classes and their subclasses with positive coefficients are provided.

Some Properties of Certain New Subclasses of Analytic Functions

In this paper, we introduce some new subclasses of analytic functions related to starlike, convex, close-to-convex and quasi-convex functions defined by using a generalized operator. Inclusion relationships for these subclasses are established. Also, we introduce some integral-preserving properties. Moreover, connections of the results presented here with those obtained in earlier works are poi...

Coefficient Inequalities for Certain Analytic Functions

Some Inequalities Exhibiting Certain Properties of Some Subclasses of Multivalently Analytic Functions

This paper introduces a new subclass and investigates the sufficiency conditions for a function to belong to this subclass. Certain types of inequalities are also studied exhibiting the well-known geometric properties of multivalently analytic functions in the unit disk. Several interesting consequences of the main results are also mentioned.