<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Harmonic univalent functions defined by post quantum calculus operators

Department of Mathematics and Computer Sciences

Department of Mathematics, National Institute of Technology

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Harmonic univalent functions defined by post quantum calculus operators"}

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...

Harmonic univalent functions defined by post quantum calculus operators

Published Online: Aug 17, 2019

Page range: 5 - 17

Received: Sep 10, 2018

DOI: https://doi.org/10.2478/ausm-2019-0001

Keywords
(p, q)-calculus, q-calculus, (p, q)-Sălăgean harmonic function, Sălăgean differential operator

© 2019 Om P. Ahuja et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Harmonic univalent functions defined by post quantum calculus operators

Published Online: Aug 17, 2019

Page range: 5 - 17

Received: Sep 10, 2018

DOI: https://doi.org/10.2478/ausm-2019-0001

Keywords(p, q)-calculus, q-calculus, (p, q)-Sălăgean harmonic function, Sălăgean differential operator

© 2019 Om P. Ahuja et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
(p, q)-calculus, q-calculus, (p, q)-Sălăgean harmonic function, Sălăgean differential operator