Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series

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dc.contributor.authorAwolere, Tunji Ibrahim
dc.contributor.authorOladipo, Abiodun Tinuoye
dc.contributor.authorAltinkaya, Sahsene
dc.date.accessioned2025-03-09T10:48:39Z
dc.date.available2025-03-09T10:48:39Z
dc.date.issued2024
dc.departmentİstanbul Beykent Üniversitesi
dc.description.abstractThe present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT). The uniqueness lies in utilizing a generalized discrete probability distribution and a zero-truncated Poisson distribution combined with generalized Gegenbauer polynomials featuring two variables. We aim to obtain coefficient bounds, the classical Fekete-Szego inequality, and Hankel and Toeplitz determinants to generalize the probability of a gambler's ruin. Additionally, using the defined bi-univalent function classes contributes to the uniqueness of the obtained results.
dc.identifier.doi10.22130/scma.2024.1987464.1235
dc.identifier.issn2423-3900
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85198728461
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.22130/scma.2024.1987464.1235
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4631
dc.identifier.volume21
dc.identifier.wosWOS:001272216000005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Maragheh
dc.relation.ispartofSahand Communications in Mathematical Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250310
dc.subjectBi-univalent function
dc.subjectGegenbauer polynomials
dc.subjectDiscrete probability
dc.subjectHankel and Toeplitz determinants
dc.subjectZero-truncated-Poisson series
dc.titleApplication of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series
dc.typeArticle

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