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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2021
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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) |
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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 |
_version_ |
1718407682742812672 |