<abstract xmlns="http://www.w3.org/1999/xhtml">This paper is concerned with certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers. We find estimates of the initial coefficients |<italic>a</italic>2| and |<italic>a</italic>3| for the functions in these classes. Also we investigate upper bounds for the Fekete-Szegö functional and second Hankel determinant for these classes.</abstract>

This paper is concerned with certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers. We find estimates of the initial coefficients |a2| and |a3| for the functions in these classes. Also we investigate upper bounds for the Fekete-Szegö functional and second Hankel determinant for these classes.

Certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers

General Mathematics

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

This paper is concerned with certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers. We find...

Certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers

Publié en ligne: 31 juil. 2020

Pages: 125 - 140

Reçu: 02 mars 2019

Accepté: 29 janv. 2020

DOI: https://doi.org/10.2478/gm-2020-0010

Mots clés
Sãlãgean operator, bi-univalent functions, subordination, shell-like curves, univalent functions, starlike functions, convex functions, Fibonacci numbers

© 2020 Gurmeet Singh et al., published by Sciendo

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

Certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers

Publié en ligne: 31 juil. 2020

Pages: 125 - 140

Reçu: 02 mars 2019

Accepté: 29 janv. 2020

DOI: https://doi.org/10.2478/gm-2020-0010

Mots clésSãlãgean operator, bi-univalent functions, subordination, shell-like curves, univalent functions, starlike functions, convex functions, Fibonacci numbers

© 2020 Gurmeet Singh et al., published by Sciendo

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

Mots clés
Sãlãgean operator, bi-univalent functions, subordination, shell-like curves, univalent functions, starlike functions, convex functions, Fibonacci numbers