<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we introduce and investigate new subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers. Furthermore, we find estimates of first two coefficients of functions in these classes. Also, we determine Fekete-Szegö inequalities for these function classes.</p></abstract>

In this paper, we introduce and investigate new subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers. Furthermore, we find estimates of first two coefficients of functions in these classes. Also, we determine Fekete-Szegö inequalities for these function classes.

Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers

Faculty of Science, Department of Mathematics

Department of Mathematics, School of Advanced Sciences

Vellore Institute of Technology, Deemed to be University

Faculty of Mathematics and Natural Sciences

Acta Universitatis Sapientiae, Mathematica

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

In this paper, we introduce and investigate new subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers....

Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers

Published Online: Sep 10, 2018

Page range: 70 - 84

Received: Apr 29, 2018

DOI: https://doi.org/10.2478/ausm-2018-0006

Keywords
analytic functions, bi-univalent, shell-like curve, Fibonacci numbers, starlike functions, convex functions

© 2018 H. Özlem Güney et al., published by Sciendo

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

Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers

Published Online: Sep 10, 2018

Page range: 70 - 84

Received: Apr 29, 2018

DOI: https://doi.org/10.2478/ausm-2018-0006

Keywordsanalytic functions, bi-univalent, shell-like curve, Fibonacci numbers, starlike functions, convex functions

© 2018 H. Özlem Güney et al., published by Sciendo

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

Keywords
analytic functions, bi-univalent, shell-like curve, Fibonacci numbers, starlike functions, convex functions