Janowski type close-to-convex functions associated with conic regions

The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This work includes certain geometric properties like sufficiency...

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Detalles Bibliográficos
Autores principales: Mahmood, Shahid, Arif, Muhammad, Malik, Sarfraz Nawaz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5644758/
https://www.ncbi.nlm.nih.gov/pubmed/29081635
http://dx.doi.org/10.1186/s13660-017-1535-4
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author Mahmood, Shahid
Arif, Muhammad
Malik, Sarfraz Nawaz
author_facet Mahmood, Shahid
Arif, Muhammad
Malik, Sarfraz Nawaz
author_sort Mahmood, Shahid
collection PubMed
description The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This work includes certain geometric properties like sufficiency criteria, coefficient estimates, arc length, the growth rate of coefficients of Taylor series, integral preserving properties of these functions.
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spelling pubmed-56447582017-10-27 Janowski type close-to-convex functions associated with conic regions Mahmood, Shahid Arif, Muhammad Malik, Sarfraz Nawaz J Inequal Appl Research The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This work includes certain geometric properties like sufficiency criteria, coefficient estimates, arc length, the growth rate of coefficients of Taylor series, integral preserving properties of these functions. Springer International Publishing 2017-10-17 2017 /pmc/articles/PMC5644758/ /pubmed/29081635 http://dx.doi.org/10.1186/s13660-017-1535-4 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Mahmood, Shahid
Arif, Muhammad
Malik, Sarfraz Nawaz
Janowski type close-to-convex functions associated with conic regions
title Janowski type close-to-convex functions associated with conic regions
title_full Janowski type close-to-convex functions associated with conic regions
title_fullStr Janowski type close-to-convex functions associated with conic regions
title_full_unstemmed Janowski type close-to-convex functions associated with conic regions
title_short Janowski type close-to-convex functions associated with conic regions
title_sort janowski type close-to-convex functions associated with conic regions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5644758/
https://www.ncbi.nlm.nih.gov/pubmed/29081635
http://dx.doi.org/10.1186/s13660-017-1535-4
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