Coefficient bounds for Al-Oboudi type bi-univalent functions connected with a modified sigmoid activation function and \(k\)-Fibonacci numbers

Volume 27, Issue 2, pp 105--117 http://dx.doi.org/10.22436/jmcs.027.02.02
Publication Date: April 13, 2022 Submission Date: December 08, 2021 Revision Date: December 21, 2021 Accteptance Date: January 15, 2022

Authors

A. Amourah - Department of Mathematics, Faculty of Science and Technology, Irbid National University, Irbid, Jordan. B. A. Frasin - Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan. S. R. Swamy - Department of Computer Science and Engineering, RV College of Engineering, Bengaluru, 560 059, Karnataka, India. Y. Sailaja - Department of Mathematics, RV College of Engineering, Bengaluru, 560 059, Karnataka, India.


Abstract

Using the Al-Oboudi type operator, we present and investigate two special families of bi-univalent functions connected with the activation function \(% \phi (s)=\ 2/(1+e^{-s}),\,s\in \mathbb{R}\) and \(k\)-Fibonacci numbers. We derive the bounds on initial coefficients and the Fekete-Szego functional for functions of the type \(g_{\phi }(z)=z+\sum \limits_{j=2}^{\infty }\phi (s)d_{j}z^{j}\) in these introduced families. Furthermore, we present interesting observations of the results investigated.


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ISRP Style

A. Amourah, B. A. Frasin, S. R. Swamy, Y. Sailaja, Coefficient bounds for Al-Oboudi type bi-univalent functions connected with a modified sigmoid activation function and \(k\)-Fibonacci numbers, Journal of Mathematics and Computer Science, 27 (2022), no. 2, 105--117

AMA Style

Amourah A., Frasin B. A., Swamy S. R., Sailaja Y., Coefficient bounds for Al-Oboudi type bi-univalent functions connected with a modified sigmoid activation function and \(k\)-Fibonacci numbers. J Math Comput SCI-JM. (2022); 27(2):105--117

Chicago/Turabian Style

Amourah, A., Frasin, B. A., Swamy, S. R., Sailaja, Y.. "Coefficient bounds for Al-Oboudi type bi-univalent functions connected with a modified sigmoid activation function and \(k\)-Fibonacci numbers." Journal of Mathematics and Computer Science, 27, no. 2 (2022): 105--117


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