Some properties of $q-$close-to-convex functions

Yıl 2017, Cilt: 46 Sayı: 6, 1105 - 1112, 01.12.2017

H.esra Özkan Uçar Oya Mert Yasar Polatoglu

Öz

Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum calculus.

Anahtar Kelimeler

$q-$convex function, $q-$close to convex function, growth theorem, distortion theorem, coefficient inequality

Kaynakça

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• M.E.H. Ismail,E.Merkes and D.Steyr, A generalization of Starlike functions, Complex Variables (14)(1990), 77–84.
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• A. Yemisçi Arzu and Y. Polatoglu, Growth and Distortion theorems for q-Convex Functions, Mathematica Slovaca.(2016 Submitted)