A SHARP SCHWARZ LEMMA AT THE BOUNDARY

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dc.contributor.authorAkyel, Tugba
dc.contributor.authorOrnek, Bulent Nafi
dc.date.accessioned2025-10-29T11:07:47Z
dc.date.issued2015
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, a boundary version of Schwarz lemma is investigated. For the function holomorphic f(z) = a + c(p)z(P) c(p)+1(zP+1) . . . defined in the unit disc satisfying |f(z) - 1| < 1, where 0 < a < 2, we estimate a module of angular derivative at the boundary point b, f (b) = 2, by taking into account their first nonzero two Maclaurin coefficients. The sharpness of these estimates is also proved.
dc.identifier.doi10.7468/jksmeb.2015.22.3.263
dc.identifier.endpage273
dc.identifier.issn1226-0657
dc.identifier.issn2287-6081
dc.identifier.issue3
dc.identifier.startpage263
dc.identifier.urihttps://doi.org/10.7468/jksmeb.2015.22.3.263
dc.identifier.urihttps://hdl.handle.net/20.500.14854/5048
dc.identifier.volume22
dc.identifier.wosWOS:000410137300006
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherKorean Soc Mathematical Education
dc.relation.ispartofJournal of the Korean Society of Mathematical Education Series B-Pure and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectSchwarz lemma on the boundary
dc.subjectangular limit and derivative
dc.subjectJulia-Wolff-Lemma
dc.subjectholomorphic function
dc.titleA SHARP SCHWARZ LEMMA AT THE BOUNDARY
dc.typeArticle

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