Radius Constants for Analytic Functions with Fixed Second Coefficient

Let f(z) = z + ∑(n=2) (∞) a (n) z (n) be analytic in the unit disk with the second coefficient a (2) satisfying |a (2) | = 2b, 0 ≤ b ≤ 1. Sharp radius of Janowski starlikeness is obtained for functions f whose nth coefficient satisfies |a (n) | ≤ cn + d  (c, d ≥ 0) or |a (n) | ≤ c/n  (c > 0  and ...

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Detalles Bibliográficos
Autores principales: Nargesi, Mahnaz M., Ali, Rosihan M., Ravichandran, V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4102033/
https://www.ncbi.nlm.nih.gov/pubmed/25101327
http://dx.doi.org/10.1155/2014/898614
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author Nargesi, Mahnaz M.
Ali, Rosihan M.
Ravichandran, V.
author_facet Nargesi, Mahnaz M.
Ali, Rosihan M.
Ravichandran, V.
author_sort Nargesi, Mahnaz M.
collection PubMed
description Let f(z) = z + ∑(n=2) (∞) a (n) z (n) be analytic in the unit disk with the second coefficient a (2) satisfying |a (2) | = 2b, 0 ≤ b ≤ 1. Sharp radius of Janowski starlikeness is obtained for functions f whose nth coefficient satisfies |a (n) | ≤ cn + d  (c, d ≥ 0) or |a (n) | ≤ c/n  (c > 0  and  n ≥ 3). Other radius constants are also obtained for these functions, and connections with earlier results are made.
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spelling pubmed-41020332014-08-06 Radius Constants for Analytic Functions with Fixed Second Coefficient Nargesi, Mahnaz M. Ali, Rosihan M. Ravichandran, V. ScientificWorldJournal Research Article Let f(z) = z + ∑(n=2) (∞) a (n) z (n) be analytic in the unit disk with the second coefficient a (2) satisfying |a (2) | = 2b, 0 ≤ b ≤ 1. Sharp radius of Janowski starlikeness is obtained for functions f whose nth coefficient satisfies |a (n) | ≤ cn + d  (c, d ≥ 0) or |a (n) | ≤ c/n  (c > 0  and  n ≥ 3). Other radius constants are also obtained for these functions, and connections with earlier results are made. Hindawi Publishing Corporation 2014 2014-07-01 /pmc/articles/PMC4102033/ /pubmed/25101327 http://dx.doi.org/10.1155/2014/898614 Text en Copyright © 2014 Mahnaz M. Nargesi et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Nargesi, Mahnaz M.
Ali, Rosihan M.
Ravichandran, V.
Radius Constants for Analytic Functions with Fixed Second Coefficient
title Radius Constants for Analytic Functions with Fixed Second Coefficient
title_full Radius Constants for Analytic Functions with Fixed Second Coefficient
title_fullStr Radius Constants for Analytic Functions with Fixed Second Coefficient
title_full_unstemmed Radius Constants for Analytic Functions with Fixed Second Coefficient
title_short Radius Constants for Analytic Functions with Fixed Second Coefficient
title_sort radius constants for analytic functions with fixed second coefficient
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4102033/
https://www.ncbi.nlm.nih.gov/pubmed/25101327
http://dx.doi.org/10.1155/2014/898614
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