Starlikeness of Analytic Functions with Subordinate Ratios

Let h be a nonvanishing analytic function in the open unit disc with h0=1. Consider the class consisting of normalized analytic functions f whose ratios fz/gz, gz/zpz, and pz are each subordinate to h for some analytic functions g and p. The radius of starlikeness of order α is obtained for this cla...

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Autores principales:	Rosihan M. Ali, Vaithiyanathan Ravichandran, Kanika Sharma
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/17ab32d09f1340769955c87e711c6e96
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spelling	oai:doaj.org-article:17ab32d09f1340769955c87e711c6e962021-11-08T02:37:17ZStarlikeness of Analytic Functions with Subordinate Ratios2314-478510.1155/2021/8373209https://doaj.org/article/17ab32d09f1340769955c87e711c6e962021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8373209https://doaj.org/toc/2314-4785Let h be a nonvanishing analytic function in the open unit disc with h0=1. Consider the class consisting of normalized analytic functions f whose ratios fz/gz, gz/zpz, and pz are each subordinate to h for some analytic functions g and p. The radius of starlikeness of order α is obtained for this class when h is chosen to be either hz=1+z or hz=ez. Further, starlikeness radii are also obtained for each of these two classes, which include the radius of Janowski starlikeness, and the radius of parabolic starlikeness.Rosihan M. AliVaithiyanathan RavichandranKanika SharmaHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Rosihan M. Ali Vaithiyanathan Ravichandran Kanika Sharma Starlikeness of Analytic Functions with Subordinate Ratios
description	Let h be a nonvanishing analytic function in the open unit disc with h0=1. Consider the class consisting of normalized analytic functions f whose ratios fz/gz, gz/zpz, and pz are each subordinate to h for some analytic functions g and p. The radius of starlikeness of order α is obtained for this class when h is chosen to be either hz=1+z or hz=ez. Further, starlikeness radii are also obtained for each of these two classes, which include the radius of Janowski starlikeness, and the radius of parabolic starlikeness.
format	article
author	Rosihan M. Ali Vaithiyanathan Ravichandran Kanika Sharma
author_facet	Rosihan M. Ali Vaithiyanathan Ravichandran Kanika Sharma
author_sort	Rosihan M. Ali
title	Starlikeness of Analytic Functions with Subordinate Ratios
title_short	Starlikeness of Analytic Functions with Subordinate Ratios
title_full	Starlikeness of Analytic Functions with Subordinate Ratios
title_fullStr	Starlikeness of Analytic Functions with Subordinate Ratios
title_full_unstemmed	Starlikeness of Analytic Functions with Subordinate Ratios
title_sort	starlikeness of analytic functions with subordinate ratios
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/17ab32d09f1340769955c87e711c6e96
work_keys_str_mv	AT rosihanmali starlikenessofanalyticfunctionswithsubordinateratios AT vaithiyanathanravichandran starlikenessofanalyticfunctionswithsubordinateratios AT kanikasharma starlikenessofanalyticfunctionswithsubordinateratios
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Starlikeness of Analytic Functions with Subordinate Ratios

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