Ma-Minda Type of Bi-Starlike Functions Associated with a Shell-Shaped Region in q-Calculus

Authors

  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,
  • Abdullah Alsoboh College of Applied and Health Sciences, A’Sharqiyah University, P.O. Box 42, Post Code 400, Ibra, Sultanate of Oman
  • Jamal Salah College of Applied and Health Sciences, A’Sharqiyah University, P.O. Box 42, Post Code 400, Ibra, Sultanate of Oman
  • Abed Al-Rahman Malkawi Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman 11953, Jordan
  • Omar Alnajar Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid 21110, Jordan
  • Tala Sasa Department of Mathematics, Faculty of Science, Applied Science Private University, Amman, Jordan

DOI:

https://doi.org/10.19139/soic-2310-5070-3426

Keywords:

Analytic functions, Subordination, Shell-Shaped Region, q−calculus

Abstract

This article introduces a bi-starlike class linked with a shell-shaped region by using the principle of subordination and \(\q\)-calculus, where $\q\in(0,1)$. We then apply the well-known method of Ma and Minda to investigate a novel subclass of bi-univalent functions. We prove that the class is nonempty by using a geometric approach and derive explicit upper estimates for the Taylor--Maclaurin coefficients $|\n_{2}|$ and $|\n_{3}|$. Additionally, we study the Fekete--Szeg\"{o} functional. The study examines shell-shaped image domains using the subordination principle under quantum \(\q\)- calculus, supported by illustrative geometric plots.

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Published

2026-09-21

How to Cite

Amourah, A., Alsoboh, A., Salah, J., Malkawi, A. A.-R., Alnajar, O., & Sasa, T. (2026). Ma-Minda Type of Bi-Starlike Functions Associated with a Shell-Shaped Region in q-Calculus. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3426

Issue

Online First

Section

Research Articles

License

Copyright (c) 2026 Ala Amourah, Abdullah Alsoboh, Jamal Salah, Abed Al-Rahman Malkawi, Omar Alnajar, Tala Sasa

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