SUBCLASSES OF YAMAKAWA-TYPE BI-STARLIKE FUNCTIONS SUBORDINATE TO GEGENBAUR POLYNOMIALS ASSOCIATED WITH QUANTUM CALCULUS


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Authors

  • Tariq Al-Hawary Al-Balqa Applied University
  • Ala Amourah Faculty of Education and Arts, Sohar, University, Sohar 3111, Oman, Applied Science Research Center, Applied Science Private University, Amman
  • Abdullah Alsoboh Department of Mathematics, Philadelphia University, 19392 Amman
  • Aiman M. Freihat Department of Educational Sciences, Ajloun College, Al Balqa Applied University, Ajloun 26816
  • Osama Ogilat Department of Basic Sciences, Faculty of Arts and Science, Al-Ahliyya Amman University, Amman 19328
  • Irianto Harny Department General Education, Faculty of Resilience, Rabdan Academy, Abu Dhabi
  • Maslina Darus Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor

Abstract

In this paper, we present a novel class of Yamakawa-type bi-starlike functions. These functions are defined using Gegenbauer polynomials associated with q-calculus. We have derived estimates for the Maclaurin coefficients |a₂| and |a₃| for functions in the Yamakawa-type bi-starlike function class. Additionally, we have solved the Fekete-Szegö problems for functions in this new subclass. By specializing the parameters in our main results, we have obtained several new findings.

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Published

2024-10-17

How to Cite

Al-Hawary, T., Ala Amourah, Abdullah Alsoboh, Aiman M. Freihat, Osama Ogilat, Irianto Harny, & Maslina Darus. (2024). SUBCLASSES OF YAMAKAWA-TYPE BI-STARLIKE FUNCTIONS SUBORDINATE TO GEGENBAUR POLYNOMIALS ASSOCIATED WITH QUANTUM CALCULUS. Results in Nonlinear Analysis, 7(4), 75–83. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/428