A subfamily of bi-univalent functions involving the Riemann-Liouville fractional derivative subordinate to the sine function

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Mustafa Sabri
Basem Aref Frasin

Abstract

In this study, we provide a class of bi-univalent functions defined via the Riemann-Liouville subordination derivative with the sine function. we establish that this class is non-empty and provide best bounds for the initial coefficients, alongside the maximal estimate for the Fekete-Szego functional.

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A subfamily of bi-univalent functions involving the Riemann-Liouville fractional derivative subordinate to the sine function. (2025). Gulf Journal of Mathematics, 21(1), 522-533. https://doi.org/10.56947/gjom.v21i1.3515