A new subclass of the meromorphic harmonic starlike functions

On Meromorphic Harmonic Starlike Functions with Missing Coefficients

The Study Properties of Subclass of Starlike Functions

In this paper we introduce and investigate a certain subclass of univalentfunctions which are analytic in the unit disk U.Such results as coecientinequalities. The results presented here would provide extensions of those givenin earlier works.

On a New Subclass of Harmonic Meromorphic Functions with Fixed Residue Ξ

f = u + iv is a complex harmonic function in a domain D if both u and v are real continuous harmonic functions in D. In any simply connected domain D ⊂ C, f is written in the form of f = h+g, where both h and g are analytic in D. We call h the analytic part and g the co-analytic part of f . A necessary and sufficient condition for f to be locally univalent and orientation preserving in D is tha...

On a subclass of n-starlike functions

In 1999, Kanas and Rønning introduced the classes of starlike and convex functions, which are normalized with f (w) = f ′(w)− 1 = 0 and w a fixed point in U . In 2005, the authors introduced the classes of functions close to convex and α-convex, which are normalized in the same way. All these definitions are somewhat similar to the ones for the uniform-type functions and it is easy to see that ...

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...