On some geometric properties and Hardy class of q-Bessel functions
In this paper, we deal with some geometric properties including starlikeness and convexity of order <em>α</em> of Jackson’s second and third <em>q</em>-Bessel functions which are natural extensions of classical Bessel function <em>J</em><sub><em>ν</...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020203/fulltext.html |
| _version_ | 1818281928585904128 |
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| author | İbrahim Aktaş |
| author_facet | İbrahim Aktaş |
| author_sort | İbrahim Aktaş |
| collection | DOAJ |
| description | In this paper, we deal with some geometric properties including starlikeness and convexity of order <em>α</em> of Jackson’s second and third <em>q</em>-Bessel functions which are natural extensions of classical Bessel function <em>J</em><sub><em>ν</em></sub>. In additon, we determine some conditions on the parameters such that Jackson’s second and third <em>q</em>-Bessel functions belong to the Hardy space and to the class of bounded analytic functions. |
| first_indexed | 2024-12-13T00:12:55Z |
| format | Article |
| id | doaj.art-7683144c8a574330be75060a15c89ec3 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-13T00:12:55Z |
| publishDate | 2020-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-7683144c8a574330be75060a15c89ec32022-12-22T00:05:54ZengAIMS PressAIMS Mathematics2473-69882020-04-01543156316810.3934/math.2020203On some geometric properties and Hardy class of q-Bessel functionsİbrahim Aktaş0Department of Mathematics, Kamil Özdağ Science Faculty, Karamanoğlu Mehmetbey University, Yunus Emre Campus, 70100, Karaman-TurkeyIn this paper, we deal with some geometric properties including starlikeness and convexity of order <em>α</em> of Jackson’s second and third <em>q</em>-Bessel functions which are natural extensions of classical Bessel function <em>J</em><sub><em>ν</em></sub>. In additon, we determine some conditions on the parameters such that Jackson’s second and third <em>q</em>-Bessel functions belong to the Hardy space and to the class of bounded analytic functions.https://www.aimspress.com/article/10.3934/math.2020203/fulltext.htmlanalytic functionconvex and starlike functions of order αhardy spaceq-bessel functions |
| spellingShingle | İbrahim Aktaş On some geometric properties and Hardy class of q-Bessel functions AIMS Mathematics analytic function convex and starlike functions of order α hardy space q-bessel functions |
| title | On some geometric properties and Hardy class of q-Bessel functions |
| title_full | On some geometric properties and Hardy class of q-Bessel functions |
| title_fullStr | On some geometric properties and Hardy class of q-Bessel functions |
| title_full_unstemmed | On some geometric properties and Hardy class of q-Bessel functions |
| title_short | On some geometric properties and Hardy class of q-Bessel functions |
| title_sort | on some geometric properties and hardy class of q bessel functions |
| topic | analytic function convex and starlike functions of order α hardy space q-bessel functions |
| url | https://www.aimspress.com/article/10.3934/math.2020203/fulltext.html |
| work_keys_str_mv | AT ibrahimaktas onsomegeometricpropertiesandhardyclassofqbesselfunctions |