Yazar "Shaba, Timilehin Gideon" seçeneğine göre listele

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    A q-Rogers-Ramanujan-based characterization of q-bi-bounded turning functions
    (De Gruyter Poland Sp Z O O, 2026) Khan, Bilal; Shaba, Timilehin Gideon; Araci, Serkan; Adebesin, Babatunde Olufemi; Usta, Fuat
    This study investigates the second Hankel determinant for a specific class of functions associated with the q-Rogers-Ramanujan polynomial. To accomplish this, we introduce a new subclass of q-bounded turning functions related to the q-Rogers-Ramanujan polynomial, denoted as S R Sigma ( q , l , g ) $\mathcal{S}{\mathcal{R}}_{{\Sigma}}\left(q,l,g ight)$ . In complex analysis, establishing precise coefficient bounds for bi-univalent functions is crucial, as these coefficients influence the core properties of conformal mappings. In this work, we derive coefficient bounds for functions within the subclass S R Sigma ( q , l , g ) $\mathcal{S}{\mathcal{R}}_{{\Sigma}}\left(q,l,g ight)$ , with most of the identified bounds being sharp. This research may stimulate further studies on sharp bounds for analytic functions associated with novel image domains.
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    Characterization of Bi-Starlike Functions: A Daehee Polynomial Approach
    (Mdpi, 2024) Shaba, Timilehin Gideon; Araci, Serkan; Adebesin, Babatunde Olufemi; Usta, Fuat; Khan, Bilal
    This research investigates the second Hankel determinant for a specific class of functions associated with the Daehee polynomial. To achieve this, we introduce new subclasses of starlike functions in the context of Daehee polynomials. In complex analysis, establishing precise bounds for coefficient estimates in bi-univalent functions is essential, as these coefficients define the fundamental properties of conformal mappings. In this study, we derive sharp bounds for coefficient estimates within new subclasses of starlike functions related to Daehee polynomials, with most of the obtained limits demonstrating high accuracy. This work aims to inspire further exploration of rigorous bounds for analytic functions associated with innovative mapping domains.