On certain new subclass of close-to-convex functions

On a subclass of multivalent analytic functions associated with an extended fractional differintegral operator

Making use of an extended fractional differintegral operator ( introduced recently by Patel and Mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

A Subclass of Analytic Functions Associated with Hypergeometric Functions

In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.

Inclusion Properties of a Certain Subclass of Strongly Close-to-convex Functions

The purpose of this paper is to derive some inclusion and argument properties of a new subclass of strongly close-to-convex functions in the open unit disc. We have considered an integral operator defined by convolution involving hypergeometric function in the subclass definition. The subclass also extends to the class of α-spirallike functions of complex order.

A New Subclass of Close-to-convex Functions

In this work, we introduce and investigate an interesting subclassXt(γ) of analyticand close-to-convex functions in the open unit disk U. For functions belonging to the classXt(γ),we drive several properties including coefficient estimates, distortion theorems, covering theoremsand radius of convexity.Full text References[1] I. Graham, G. Kohr, Geometric Function The...

A new subclass of harmonic mappings with positive coefficients

‎Complex-valued harmonic functions that are univalent and‎ ‎sense-preserving in the open unit disk $U$ can be written as form‎ ‎$f =h+bar{g}$‎, ‎where $h$ and $g$ are analytic in $U$‎. ‎In this paper‎, ‎we introduce the class $S_H^1(beta)$‎, ‎where $1<betaleq 2$‎, ‎and‎ ‎consisting of harmonic univalent function $f = h+bar{g}$‎, ‎where $h$ and $g$ are in the form‎ ‎$h(z) = z+sumlimits_{n=2}^inf...