A q-Rogers-Ramanujan-based characterization of q-bi-bounded turning functions

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dc.contributor.authorKhan, Bilal
dc.contributor.authorShaba, Timilehin Gideon
dc.contributor.authorAraci, Serkan
dc.contributor.authorAdebesin, Babatunde Olufemi
dc.contributor.authorUsta, Fuat
dc.date.accessioned2026-07-01T11:39:37Z
dc.date.available2026-07-01T11:39:37Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractThis 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.
dc.identifier.doi10.1515/dema-2025-0225
dc.identifier.issn0420-1213
dc.identifier.issn2391-4661
dc.identifier.issue1
dc.identifier.urihttps://doi.org/10.1515/dema-2025-0225
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23362
dc.identifier.volume59
dc.identifier.wosWOS:001793970600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherDe Gruyter Poland Sp Z O O
dc.relation.ispartofDemonstratio Mathematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260623
dc.subject[Keyword Not Available]
dc.titleA q-Rogers-Ramanujan-based characterization of q-bi-bounded turning functions
dc.typeArticle

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