Some remarks for a certain class of holomorphic functions at the boundary of the unit disc

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Tarih

2019

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Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

We consider a boundary version of the Schwarz Lemma on a certain class which is denoted by ??(??). Forthe function ??(??) = ?? + ???????? + ????????+. .. which is defined in the unit disc ?? such that the function ??(??)belongs to the class ??(??), we estimate from below the modulus of the angular derivative of the function????'(??)??(??)at the boundary point ?? with ????'(??)??(??)=????????. Moreover, we get the Schwarz Lemma for the class ??(??).We also investigate some inequalities obtained in terms of sharpness.

Açıklama

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Kaynak

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Cilt

23

Sayı

3

Künye