Harmonic univalent functions defined by post quantum calculus operators-Reference-Cited by-同舟云学术

Harmonic univalent functions defined by post quantum calculus operators

Published:2019-08-01 Issue:1 Volume:11 Page:5-17
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Ahuja Om P.¹,Çetinkaya Asena²,Ravichandran V.³

Affiliation:

1. Department of Mathematics , Kent State University , Burton , OH, USA

2. Department of Mathematics and Computer Sciences , İstanbul Kültür University , İstanbul , Turkey

3. Department of Mathematics, National Institute of Technology , Tiruchirappalli - 620015 , India ; vravi68@gmail.com

Abstract

Abstract We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions. Using this, coefficients estimates, distortion and covering theorems were also obtained. The extreme points of the family and a radius result were also obtained. The results obtained include several known results as special cases.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2019-0001

Reference18 articles.

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3. [3] O. P. Ahuja, A. Çetinkaya, Y. Polatõglu,Bieberbach-de Branges and Fekete-Szegö inequalities for certain families of q-convex and q-close-to-convex functions, J. Comput. Anal. Appl., 26 (4) (2019), 639–649.

4. [4] O. P. Ahuja, A. Çetinkaya, Connecting quantum calculus and harmonic starlike functions, preprint, 2018.

5. [5] J. Clunie, T. Sheil-Small, Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A I Math., 9 (1984), 3–25.10.5186/aasfm.1984.0905

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