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SCHWARZ LEMMA AND ITS APPLICATIONS ON THE UNIT DISC

dc.contributor.authorÖrnek, Bülent Nafi
dc.contributor.authorKandemir, Nazif
dc.date.accessioned2025-03-28T07:05:09Z
dc.date.available2025-03-28T07:05:09Z
dc.date.issued2024
dc.identifier.issn23094966
dc.identifier.urihttps://hdl.handle.net/20.500.12450/4295
dc.description.abstractIn this article, a refinement of the Schwarz lemma (boundary Schwarz lemma) is presented for a different class. For the analytic function) p(z) = z+b2 z2 +b3 z3 +…, defined in the unit disc U satisfying (Formula Presented) for z ∈ U, where r, s ∈ C, r ≠ s, |r| ≤ 1, |s| ≤ 1, we estimate a module of angular derivative at the boundary point 1with p(r) = p(s). The sharpness of these estimates is also proved. © 2024, Canadian University of Dubai. All rights reserved.en_US
dc.language.isoengen_US
dc.publisherCanadian University of Dubaien_US
dc.relation.ispartofGulf Journal of Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytic functionen_US
dc.subjectAngular derivativeen_US
dc.subjectSchwarz lemmaen_US
dc.subjectTaylor expansionen_US
dc.titleSCHWARZ LEMMA AND ITS APPLICATIONS ON THE UNIT DISCen_US
dc.typearticleen_US
dc.departmentAmasya Üniversitesien_US
dc.identifier.volume16en_US
dc.identifier.issue1en_US
dc.identifier.startpage96en_US
dc.identifier.endpage108en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopus2-s2.0-85188058273en_US
dc.identifier.doi10.56947/gjom.v16i1.1537
dc.department-tempÖrnek B.N., DEPARTMENT OF COMPUTER ENGINEERING, AMASYA UNIVERSITY, MERKEZ, AMASYA, 05100, Turkey; Kandemir N., DEPARTMENT OF MATHEMATICS, AMASYA UNIVERSITY, MERKEZ, AMASYA, Turkeyen_US
dc.snmzKA_Scopus_20250328
dc.indekslendigikaynakScopusen_US


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