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