Certain Geometric Properties of Generalized Dini Functions
We are mainly interested in some geometric properties for the combinations of generalized Bessel functions of the first kind and their derivatives known as Dini functions. In particular, we study the starlikeness of order α, convexity of order α, and close-to-convexity of order ((1+α)/2) for normali...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/2684023 |
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| _version_ | 1832548698008059904 |
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| author | Muhey U. Din Mohsan Raza Saqib Hussain Maslina Darus |
| author_facet | Muhey U. Din Mohsan Raza Saqib Hussain Maslina Darus |
| author_sort | Muhey U. Din |
| collection | DOAJ |
| description | We are mainly interested in some geometric properties for the combinations of generalized Bessel functions of the first kind and their derivatives known as Dini functions. In particular, we study the starlikeness of order α, convexity of order α, and close-to-convexity of order ((1+α)/2) for normalized Dini function. We also study close-to-convexity with respect to certain star-like functions. Further, we obtain conditions on generalized Dini function to belong to the Hardy space Hp. |
| format | Article |
| id | doaj-art-bd3e58bf3ff74105a33ad984e9988957 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bd3e58bf3ff74105a33ad984e99889572025-02-03T06:13:15ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/26840232684023Certain Geometric Properties of Generalized Dini FunctionsMuhey U. Din0Mohsan Raza1Saqib Hussain2Maslina Darus3Department of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus, PakistanFaculty of Science and Technology, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaWe are mainly interested in some geometric properties for the combinations of generalized Bessel functions of the first kind and their derivatives known as Dini functions. In particular, we study the starlikeness of order α, convexity of order α, and close-to-convexity of order ((1+α)/2) for normalized Dini function. We also study close-to-convexity with respect to certain star-like functions. Further, we obtain conditions on generalized Dini function to belong to the Hardy space Hp.http://dx.doi.org/10.1155/2018/2684023 |
| spellingShingle | Muhey U. Din Mohsan Raza Saqib Hussain Maslina Darus Certain Geometric Properties of Generalized Dini Functions Journal of Function Spaces |
| title | Certain Geometric Properties of Generalized Dini Functions |
| title_full | Certain Geometric Properties of Generalized Dini Functions |
| title_fullStr | Certain Geometric Properties of Generalized Dini Functions |
| title_full_unstemmed | Certain Geometric Properties of Generalized Dini Functions |
| title_short | Certain Geometric Properties of Generalized Dini Functions |
| title_sort | certain geometric properties of generalized dini functions |
| url | http://dx.doi.org/10.1155/2018/2684023 |
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