On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel Functions
The main object of this paper is to find necessary and sufficient conditions for generalized Bessel functions of first kind zup(z) to be in the classes SPp(α,β) and UCSP(α,β) of uniformly spiral-like functions and also give necessary and sufficient conditions for z(2-up(z)) to be in the above classe...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/1329462 |
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| author | B. A. Frasin Ibtisam Aldawish |
| author_facet | B. A. Frasin Ibtisam Aldawish |
| author_sort | B. A. Frasin |
| collection | DOAJ |
| description | The main object of this paper is to find necessary and sufficient conditions for generalized Bessel functions of first kind zup(z) to be in the classes SPp(α,β) and UCSP(α,β) of uniformly spiral-like functions and also give necessary and sufficient conditions for z(2-up(z)) to be in the above classes. Furthermore, we give necessary and sufficient conditions for I(κ,c)f to be in UCSPT(α,β) provided that the function f is in the class Rτ(A,B). Finally, we give conditions for the integral operator G(κ,c,z)=∫0z(2-up(t))dt to be in the class UCSPT(α,β). Several corollaries and consequences of the main results are also considered. |
| format | Article |
| id | doaj-art-e08a923d27e544218a705460e3e7443d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e08a923d27e544218a705460e3e7443d2025-08-20T03:26:09ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/13294621329462On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel FunctionsB. A. Frasin0Ibtisam Aldawish1Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, JordanDepartment of Mathematics and Statistics, College of Science, lMSIU (Imam Mohammed Ibn Saud Islamic University), P.O. Box 90950, Riyadh 11623, Saudi ArabiaThe main object of this paper is to find necessary and sufficient conditions for generalized Bessel functions of first kind zup(z) to be in the classes SPp(α,β) and UCSP(α,β) of uniformly spiral-like functions and also give necessary and sufficient conditions for z(2-up(z)) to be in the above classes. Furthermore, we give necessary and sufficient conditions for I(κ,c)f to be in UCSPT(α,β) provided that the function f is in the class Rτ(A,B). Finally, we give conditions for the integral operator G(κ,c,z)=∫0z(2-up(t))dt to be in the class UCSPT(α,β). Several corollaries and consequences of the main results are also considered.http://dx.doi.org/10.1155/2019/1329462 |
| spellingShingle | B. A. Frasin Ibtisam Aldawish On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel Functions Journal of Function Spaces |
| title | On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel Functions |
| title_full | On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel Functions |
| title_fullStr | On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel Functions |
| title_full_unstemmed | On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel Functions |
| title_short | On Subclasses of Uniformly Spiral-like Functions Associated with Generalized Bessel Functions |
| title_sort | on subclasses of uniformly spiral like functions associated with generalized bessel functions |
| url | http://dx.doi.org/10.1155/2019/1329462 |
| work_keys_str_mv | AT bafrasin onsubclassesofuniformlyspirallikefunctionsassociatedwithgeneralizedbesselfunctions AT ibtisamaldawish onsubclassesofuniformlyspirallikefunctionsassociatedwithgeneralizedbesselfunctions |