https://earthlinepublishers.com/index.php/ejms <p style="text-align: justify;">The Earthline Journal of Mathematical Sciences (E-ISSN: 2581-8147) is a peer-reviewed international journal devoted to publishing original research papers containing substantial contributions in any direction of Pure and Applied Mathematics, Theoretical and Applied Statistics, Theoretical Computer Science, Mathematical Modelling. Applications of Mathematics in Finance and Economics are also welcome.</p> Earthline Publishers, Madanambedu, Chittoor, Andhra Pradesh, India en-US Earthline Journal of Mathematical Sciences 2581-8147 <p><img src="https://earthlinepublishers.com/public/site/images/ejcs/88x311.png"><br>This work is licensed under a&nbsp;<a href="http://creativecommons.org/licenses/by/4.0/" rel="license">Creative Commons Attribution 4.0 International License</a>.</p> https://earthlinepublishers.com/index.php/ejms/article/view/1057 <p>We study a subfamily of bi-univalent and regular functions in the open unit disk subordinate to Gegenbauer polynomials. For functions in the defined subfamily, we derive initial coefficients bounds. Additionally, the Fekete-Szegö problem is handled for the elements of the defined subfamily. We also discuss relevant connections to previous findings and several fresh outcomes are shown to follow.</p> Sondekola Rudra Swamy Manje Gowda Kavana Paniraj Nagashree Mali Triveni Sanaulla Irfan Copyright (c) 2025-04-02 2025-04-02 15 4 461 471 10.34198/ejms.15425.461471