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Comprehensive Subclasses of Bi-univalent Functions Specified by Liouville–Caputo-Type Fractional Derivatives and Euler Polynomials |
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PP: 497-502 |
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doi:10.18576/amis/200215
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Author(s) |
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Feras Yousef,
Tariq Al-Hawary,
Basem Frasin,
Jamal Salah,
Mohamed Illafe,
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Abstract |
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| In this paper, we introduce two new inclusive subclasses, $\mathcal{\mathcal{F}}_{\Psi}(\digamma,\delta,\varrho)$ and $\mathcal{\mathcal{L}}_{\Psi}(\varphi,\varrho)$, of analytic functions defined via Euler polynomials
and Liouville--Caputo-type fractional derivatives. We derive estimates for the initial Maclaurin coefficients $\left\vert b_{2}\right\vert $ and $\left\vert b_{3}\right\vert $
for functions belonging to these subclasses. Furthermore, by specializing the parameters involved in our major results, several known and new consequences are obtained as corollaries. |
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