Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree

Abstract The aim of the present paper is to study radii problems for two general classes including various known subclasses of analytic functions associated with the normalized form of Legendre polynomials of odd degree. We also obtain some special cases of the main results presented here with some...

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Main Authors: Ali Ebadian, Nak Eun Cho, Ebrahim Analouei Adegani, Serap Bulut, Teodor Bulboacă
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02443-4
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author Ali Ebadian
Nak Eun Cho
Ebrahim Analouei Adegani
Serap Bulut
Teodor Bulboacă
author_facet Ali Ebadian
Nak Eun Cho
Ebrahim Analouei Adegani
Serap Bulut
Teodor Bulboacă
author_sort Ali Ebadian
collection DOAJ
description Abstract The aim of the present paper is to study radii problems for two general classes including various known subclasses of analytic functions associated with the normalized form of Legendre polynomials of odd degree. We also obtain some special cases of the main results presented here with some useful examples.
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spelling doaj.art-b89a984f417245569b2bf2d0a50aaa582022-12-21T19:11:53ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-06-012020111210.1186/s13660-020-02443-4Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degreeAli Ebadian0Nak Eun Cho1Ebrahim Analouei Adegani2Serap Bulut3Teodor Bulboacă4Department of Mathematics, Faculty of Science, Urmia UniversityDepartment of Applied Mathematics, College of Natural Sciences, Pukyong National UniversityDepartment of Mathematics, Faculty of Science, Urmia UniversityFaculty of Aviation and Space Sciences, Kocaeli UniversityFaculty of Mathematics and Computer Science, Babeş-Bolyai UniversityAbstract The aim of the present paper is to study radii problems for two general classes including various known subclasses of analytic functions associated with the normalized form of Legendre polynomials of odd degree. We also obtain some special cases of the main results presented here with some useful examples.http://link.springer.com/article/10.1186/s13660-020-02443-4Legendre polynomialsStarlike functionsConvex functionsRadii problemsStrongly starlike functions
spellingShingle Ali Ebadian
Nak Eun Cho
Ebrahim Analouei Adegani
Serap Bulut
Teodor Bulboacă
Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree
Journal of Inequalities and Applications
Legendre polynomials
Starlike functions
Convex functions
Radii problems
Strongly starlike functions
title Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree
title_full Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree
title_fullStr Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree
title_full_unstemmed Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree
title_short Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree
title_sort radii problems for some classes of analytic functions associated with legendre polynomials of odd degree
topic Legendre polynomials
Starlike functions
Convex functions
Radii problems
Strongly starlike functions
url http://link.springer.com/article/10.1186/s13660-020-02443-4
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AT ebrahimanaloueiadegani radiiproblemsforsomeclassesofanalyticfunctionsassociatedwithlegendrepolynomialsofodddegree
AT serapbulut radiiproblemsforsomeclassesofanalyticfunctionsassociatedwithlegendrepolynomialsofodddegree
AT teodorbulboaca radiiproblemsforsomeclassesofanalyticfunctionsassociatedwithlegendrepolynomialsofodddegree