<abstract xmlns="http://www.w3.org/1999/xhtml">In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |<italic>a</italic>2<italic>|</italic> and <italic>|a</italic>3<italic>|</italic>.</abstract>

In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.

Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Department of Mathematics School of Advanced Sciences

Faculty of Mathematics and Computer Science,

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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

In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we...

Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Published Online: Feb 23, 2019

Page range: 27 - 36

Received: Oct 30, 2017

Accepted: Feb 14, 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0003

Keywords
and phrases: analytic functions, univalent functions, bi-univalent functions, bistarlike and bi-convex functions, Hohlov operator, Gaussian hypergeometric function, Dziok-Srivastava operator

© 2018 Gangadharan Murugusundaramoorthy et al., published by Sciendo

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

Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator

Published Online: Feb 23, 2019

Page range: 27 - 36

Received: Oct 30, 2017

Accepted: Feb 14, 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0003

Keywordsand phrases: analytic functions, univalent functions, bi-univalent functions, bistarlike and bi-convex functions, Hohlov operator, Gaussian hypergeometric function, Dziok-Srivastava operator

© 2018 Gangadharan Murugusundaramoorthy et al., published by Sciendo

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

Keywords
and phrases: analytic functions, univalent functions, bi-univalent functions, bistarlike and bi-convex functions, Hohlov operator, Gaussian hypergeometric function, Dziok-Srivastava operator