On the Fractional q-Differintegral Operator for Subclasses of Bi-univalent Functions Subordinate to q-Ultraspherical Polynomials
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6586Keywords:
Subordination;, q-Calculus, Fekete-Szeg¨o problem, Univalent functionsAbstract
In this paper, we introduce a novel class of bi-univalent functions using the fractional q-differintegral operator and q-ultraspherical polynomials. We examine the Taylor-Maclaurin coefficients |♭2| and |♭3| for functions in this new class. We also establish Fekete-Szeg¨o functional inequalities relevant to this subclass. By varying the parameters in our main results, we derive several new findings that contribute to the theoretical development of the field.
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Copyright (c) 2025 Mamoon Ahmed, Abdullah Alsoboh, Ala Amourah, Jamal Salah
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