Starlike and convex functions with respect to symmetric conjugate points involving conical domain-Reference-Cited by-同舟云学术

Starlike and convex functions with respect to symmetric conjugate points involving conical domain

Published:2018-02-01 Issue:1 Volume:68 Page:89-102
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Ramachandran C.¹,Ambrose Prabhu R.²,Sivasubramanian Srikandan³

Affiliation:

1. Department of Mathematics , University College of Engineering Villupuram, Anna University , Villupuram 605 103 , India

2. Department of Mathematics , College of Engineering Guindy, Anna University , Chennai 600 025 , Tamilnadu , India

3. Department of Mathematics , University College of Engineering Tindivanam, Anna University , Tindivanam 604 001 , India

Abstract

Abstract Enough attentions to domains related to conical sections has not been done so far although it deserves more. Making use of the conical domain the authors have defined a new class of starlike and Convex Functions with respect to symmetric points involving the conical domain. Growth and distortion estimates are studied with convolution using domains bounded by conic regions. Certain coefficient estimates are obtained for domains bounded by conical region. Finally interesting application of the results are also highlighted for the function Ω k,β defined by Noor.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0083/pdf

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