Starlikeness of Normalized Bessel Functions with Symmetric Points

Bessel functions are related with the known Bessel differential equation. In this paper, we determine the radius of starlikeness for starlike functions with symmetric points involving Bessel functions of the first kind for some kinds of normalized conditions. Our prime tool in these investigations i...

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Autores principales: Maryam Nazir, Syed Zakar Hussain Bukhari, Imtiaz Ahmad, Muhammad Ashfaq, Malik Ali Raza
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Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/ed4de61b606c4f69a0c5812f2a752ebb
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spelling oai:doaj.org-article:ed4de61b606c4f69a0c5812f2a752ebb2021-11-29T00:57:08ZStarlikeness of Normalized Bessel Functions with Symmetric Points2314-888810.1155/2021/9451999https://doaj.org/article/ed4de61b606c4f69a0c5812f2a752ebb2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9451999https://doaj.org/toc/2314-8888Bessel functions are related with the known Bessel differential equation. In this paper, we determine the radius of starlikeness for starlike functions with symmetric points involving Bessel functions of the first kind for some kinds of normalized conditions. Our prime tool in these investigations is the Mittag-Leffler representation of Bessel functions of the first kind.Maryam NazirSyed Zakar Hussain BukhariImtiaz AhmadMuhammad AshfaqMalik Ali RazaHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Mathematics
QA1-939
spellingShingle Mathematics
QA1-939
Maryam Nazir
Syed Zakar Hussain Bukhari
Imtiaz Ahmad
Muhammad Ashfaq
Malik Ali Raza
Starlikeness of Normalized Bessel Functions with Symmetric Points
description Bessel functions are related with the known Bessel differential equation. In this paper, we determine the radius of starlikeness for starlike functions with symmetric points involving Bessel functions of the first kind for some kinds of normalized conditions. Our prime tool in these investigations is the Mittag-Leffler representation of Bessel functions of the first kind.
format article
author Maryam Nazir
Syed Zakar Hussain Bukhari
Imtiaz Ahmad
Muhammad Ashfaq
Malik Ali Raza
author_facet Maryam Nazir
Syed Zakar Hussain Bukhari
Imtiaz Ahmad
Muhammad Ashfaq
Malik Ali Raza
author_sort Maryam Nazir
title Starlikeness of Normalized Bessel Functions with Symmetric Points
title_short Starlikeness of Normalized Bessel Functions with Symmetric Points
title_full Starlikeness of Normalized Bessel Functions with Symmetric Points
title_fullStr Starlikeness of Normalized Bessel Functions with Symmetric Points
title_full_unstemmed Starlikeness of Normalized Bessel Functions with Symmetric Points
title_sort starlikeness of normalized bessel functions with symmetric points
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/ed4de61b606c4f69a0c5812f2a752ebb
work_keys_str_mv AT maryamnazir starlikenessofnormalizedbesselfunctionswithsymmetricpoints
AT syedzakarhussainbukhari starlikenessofnormalizedbesselfunctionswithsymmetricpoints
AT imtiazahmad starlikenessofnormalizedbesselfunctionswithsymmetricpoints
AT muhammadashfaq starlikenessofnormalizedbesselfunctionswithsymmetricpoints
AT malikaliraza starlikenessofnormalizedbesselfunctionswithsymmetricpoints
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