<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we define a new subclass of bi-univalent functions involving <italic>q</italic>-difference 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>.</p></abstract>

In this paper, we define a new subclass of bi-univalent functions involving q-difference 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|.

Bi-Bazilevič functions of complex order involving Ruscheweyh type <italic>q</italic>-difference operator

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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

Bi-Bazilevič functions of complex order involving Ruscheweyh type -difference operator

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

Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator

Published Online: Feb 23, 2019

Page range: 5 - 15

Received: Nov 16, 2017

Accepted: Feb 06, 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0001

Keywords
and phrases: Univalent function, Bi-Starlike function, Bi-Convex function, Hadamard product, -derivative operator

© 2018 Gangadharan Murugusundaramoorthy et al., published by Sciendo

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

Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator

Published Online: Feb 23, 2019

Page range: 5 - 15

Received: Nov 16, 2017

Accepted: Feb 06, 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0001

Keywordsand phrases: Univalent function, Bi-Starlike function, Bi-Convex function, Hadamard product, -derivative 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: Univalent function, Bi-Starlike function, Bi-Convex function, Hadamard product, -derivative operator