<abstract xmlns="http://www.w3.org/1999/xhtml"> In the present paper, we introduce and investigate two new subclasses QΣ(n; y;k) and BΣ(n;β;k) of bi-valent functions in the unit disk U. For functions belonging to the classes QΣ(n;y;k) and BΣ(n;β;k), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.</abstract>

In the present paper, we introduce and investigate two new subclasses QΣ(n; y;k) and BΣ(n;β;k) of bi-valent functions in the unit disk U. For functions belonging to the classes QΣ(n;y;k) and BΣ(n;β;k), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.

On Some New Classes of Bi-univalent Functions

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On Some New Classes of Bi-univalent Functions"}

In the present paper, we introduce and investigate two new subclasses QΣ(n; y;k) and BΣ(n;β;k) of bi-valent functions in the unit disk U. For functions...

On Some New Classes of Bi-univalent Functions

Published Online: Jan 11, 2019

Page range: 19 - 26

DOI: https://doi.org/10.2478/jamsi-2018-0010

Keywords
Univalent, starlike and convex functions, subordination and integral transform

© 2019 M. Darus, Saumya Singh, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On Some New Classes of Bi-univalent Functions

Published Online: Jan 11, 2019

Page range: 19 - 26

DOI: https://doi.org/10.2478/jamsi-2018-0010

KeywordsUnivalent, starlike and convex functions, subordination and integral transform

© 2019 M. Darus, Saumya Singh, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Univalent, starlike and convex functions, subordination and integral transform