Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions
Tariq Al-HawaryDepartment of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, JordanAbdullah AlsobohDepartment of Mathematics, Philadelphia University, 19392 Amman, JordanAla AmourahApplied Science Research Center, Applied Science Private University, Amman, JordanOsama OgilatDepartment of Basic Sciences, Faculty of Arts and Science, Al-Ahliyya Amman University, Amman 19328, JordanIrianto HarnyMaslina DarusDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
2024en
ABI
Аннотация
This study introduces a new class of bi-univalent functions in the open disk using q -Borel distribution series and q -Gegenbauer polynomials. It provides estimates for the Taylor coefficients | μ 2 | and | μ 3 | for this family of functions, as well as solutions for the Fekete-Szegö functional problems associated with this subclass. The study presents various innovative findings that result from the unique parameters used in the main results.
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