Schwarz's lemma and its applications on unit disk
2025
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Advisor: Prof. Dr. Bülent Nafi Örnek ; Doç. Dr. Tuğba Akyel
Abstract (EN)
In this thesis, an improved version of the classical Schwarz lemma is presented, extending its applications to a certain class of analytic functions defined on the unit disk. The study includes new limit versions of the Schwarz lemma, which establish exact inequalities for the angular derivatives of these functions at the boundary point under certain conditions. These inequalities are obtained for the first few coefficients of the Taylor expansion of and their exactness is demonstrated by giving examples.
Author
Dr. Nazif Kandemir
Institution
How to Cite
Nazif Kandemir (Master Thesis). Schwarz's lemma and its applications on unit disk, 2025, Amasya University.
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