An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe Function

Recently, several of the generalizations Koebe function are introduced and investigated. In this study, a linear complex operator is investigated in terms of the generalized Koebe function and Wright function. A new geometric class, namely a uniformly starlike class, is provided. Furthermore, certa...

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Main Authors: Anwar H. Moureh, Hiba F. Al-Janaby
Format: Article
Language:English
Published: College of Education for Pure Sciences 2023-03-01
Series:Wasit Journal for Pure Sciences
Subjects:
Online Access:https://wjps.uowasit.edu.iq/index.php/wjps/article/view/102
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author Anwar H. Moureh
Hiba F. Al-Janaby
author_facet Anwar H. Moureh
Hiba F. Al-Janaby
author_sort Anwar H. Moureh
collection DOAJ
description Recently, several of the generalizations Koebe function are introduced and investigated. In this study, a linear complex operator is investigated in terms of the generalized Koebe function and Wright function. A new geometric class, namely a uniformly starlike class, is provided. Furthermore, certain properties are discussed such as coefficient bounds, growth, distortion results, radii of convexity, starlikeness and close-to-convexity.
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spelling doaj.art-78dafe780ea24ade9dc13503d42dbf9a2024-03-02T02:03:14ZengCollege of Education for Pure SciencesWasit Journal for Pure Sciences2790-52332790-52412023-03-012110.31185/wjps.102An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe FunctionAnwar H. MourehHiba F. Al-Janaby Recently, several of the generalizations Koebe function are introduced and investigated. In this study, a linear complex operator is investigated in terms of the generalized Koebe function and Wright function. A new geometric class, namely a uniformly starlike class, is provided. Furthermore, certain properties are discussed such as coefficient bounds, growth, distortion results, radii of convexity, starlikeness and close-to-convexity. https://wjps.uowasit.edu.iq/index.php/wjps/article/view/102Univalent function, Starlike function, Hadamard product, Wright func-tion, Koebe function.
spellingShingle Anwar H. Moureh
Hiba F. Al-Janaby
An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe Function
Wasit Journal for Pure Sciences
Univalent function, Starlike function, Hadamard product, Wright func-tion, Koebe function.
title An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe Function
title_full An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe Function
title_fullStr An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe Function
title_full_unstemmed An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe Function
title_short An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe Function
title_sort analytical investigation of uniformly star like class of functions via generalized koebe function
topic Univalent function, Starlike function, Hadamard product, Wright func-tion, Koebe function.
url https://wjps.uowasit.edu.iq/index.php/wjps/article/view/102
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