ScholarLens Back to search
2002•Unpublished venueRequires access

ON UNIVALENT HARMONIC FUNCTIONS

Metın Öztürk, Sibel Yalçın

Open publisher page 11 citations

Abstract

Two classes of univalent harmonic functions on unit disc satisfying the conditions P 1 are given. That the ranges of the functions belonging to these two classes are starlike and convex, respectively. Sharp coefficient relations and distortion theorems are given for these functions. Furthermore results concerning the convolutions of functions satisfying above inequalities with univalent, harmonic and convex functions in the unit disk and with harmonic functions having positive real part.

About this research paper

What this paper is about

Two classes of univalent harmonic functions on unit disc satisfying the conditions P 1 are given. That the ranges of the functions belonging to these two classes are starlike and convex, respectively. Sharp coefficient relations and distortion theorems are given for these functions. Furthermore results concerning the convolutions of functions satisfying above inequalities with univalent, harmonic and convex functions in the unit disk and with harmonic functions having positive real part.

Why it matters

OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Two classes of univalent harmonic functions on unit disc satisfying the conditions P 1 are given. That the ranges of the functions belonging to these two classes are starlike and convex, respectively. Sharp coefficient relations and distortion theorems are given for these functions. Furthermore results concerning the convolutions of functions satisfying above inequalities with univalent, harmonic and convex functions in the unit disk and with harmonic functions having positive real part.

Key concepts: Mathematics, Unit disk, Harmonic, Harmonic function, Convex function, Regular polygon, Distortion (music), Univalent function

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
ON UNIVALENT HARMONIC FUNCTIONS — Research Paper | ScholarLens