Starlike functions of complex order with bounded radius rotation by using quantum calculus

In the present paper, we study on the subclass of starlike functions of complex order with bounded radius rotation using q- difference operator denoted by Rk(q, b) where k ≥ 2, q ε (0, 1) and b ε C\{0}. We investigate coefficient inequality, distortion theorem and radius of starlikeness for the clas...

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Main Authors: Çetınkaya Asena, Mert Oya
Format: Article
Language:English
Published: University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia 2018-01-01
Series:Mathematica Moravica
Subjects:
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2018/1450-59321802083C.pdf
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spelling doaj-8414a104ea67430cb307130ad02b15252020-11-24T21:45:40ZengUniversity of Kragujevac, Faculty of Technical Sciences Čačak, SerbiaMathematica Moravica1450-59322560-55422018-01-0122283881450-59321802083CStarlike functions of complex order with bounded radius rotation by using quantum calculusÇetınkaya Asena0Mert Oya1Istanbul Kültür University, Department of Mathematics and Computer Sciences, Istanbul, TurkeyAltınbas University, Department of Basic Sciences, Istanbul, TurkeyIn the present paper, we study on the subclass of starlike functions of complex order with bounded radius rotation using q- difference operator denoted by Rk(q, b) where k ≥ 2, q ε (0, 1) and b ε C\{0}. We investigate coefficient inequality, distortion theorem and radius of starlikeness for the class Rk(q, b).https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2018/1450-59321802083C.pdfq-starlike function of complex orderbounded radius rotationcoefficient inequalitydistortion theoremradius of starlikeness
collection DOAJ
language English
format Article
sources DOAJ
author Çetınkaya Asena
Mert Oya
spellingShingle Çetınkaya Asena
Mert Oya
Starlike functions of complex order with bounded radius rotation by using quantum calculus
Mathematica Moravica
q-starlike function of complex order
bounded radius rotation
coefficient inequality
distortion theorem
radius of starlikeness
author_facet Çetınkaya Asena
Mert Oya
author_sort Çetınkaya Asena
title Starlike functions of complex order with bounded radius rotation by using quantum calculus
title_short Starlike functions of complex order with bounded radius rotation by using quantum calculus
title_full Starlike functions of complex order with bounded radius rotation by using quantum calculus
title_fullStr Starlike functions of complex order with bounded radius rotation by using quantum calculus
title_full_unstemmed Starlike functions of complex order with bounded radius rotation by using quantum calculus
title_sort starlike functions of complex order with bounded radius rotation by using quantum calculus
publisher University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia
series Mathematica Moravica
issn 1450-5932
2560-5542
publishDate 2018-01-01
description In the present paper, we study on the subclass of starlike functions of complex order with bounded radius rotation using q- difference operator denoted by Rk(q, b) where k ≥ 2, q ε (0, 1) and b ε C\{0}. We investigate coefficient inequality, distortion theorem and radius of starlikeness for the class Rk(q, b).
topic q-starlike function of complex order
bounded radius rotation
coefficient inequality
distortion theorem
radius of starlikeness
url https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2018/1450-59321802083C.pdf
work_keys_str_mv AT cetınkayaasena starlikefunctionsofcomplexorderwithboundedradiusrotationbyusingquantumcalculus
AT mertoya starlikefunctionsofcomplexorderwithboundedradiusrotationbyusingquantumcalculus
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