Certain Geometric Properties of Normalized Wright Functions
In this article, we find some geometric properties like starlikeness, convexity of order α, close-to-convexity of order 1+α/2, and close-to-convexity of normalized Wright functions with respect to the certain functions. The sufficient conditions for the normalized Wright functions belonging to the c...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/1896154 |
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| _version_ | 1841524618745085952 |
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| author | Mohsan Raza Muhey U Din Sarfraz Nawaz Malik |
| author_facet | Mohsan Raza Muhey U Din Sarfraz Nawaz Malik |
| author_sort | Mohsan Raza |
| collection | DOAJ |
| description | In this article, we find some geometric properties like starlikeness, convexity of order α, close-to-convexity of order 1+α/2, and close-to-convexity of normalized Wright functions with respect to the certain functions. The sufficient conditions for the normalized Wright functions belonging to the classes Tγα and Lγα are the part of our investigations. We also obtain the conditions on normalized Wright function to belong to the Hardy space Hp. |
| format | Article |
| id | doaj-art-5129c9c802d2494aacfa31c50ced832f |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5129c9c802d2494aacfa31c50ced832f2025-02-03T05:47:46ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/18961541896154Certain Geometric Properties of Normalized Wright FunctionsMohsan Raza0Muhey U Din1Sarfraz Nawaz Malik2Department of Mathematics, Government College University Faisalabad, Faisalabad, PakistanDepartment of Mathematics, Government College University Faisalabad, Faisalabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, PakistanIn this article, we find some geometric properties like starlikeness, convexity of order α, close-to-convexity of order 1+α/2, and close-to-convexity of normalized Wright functions with respect to the certain functions. The sufficient conditions for the normalized Wright functions belonging to the classes Tγα and Lγα are the part of our investigations. We also obtain the conditions on normalized Wright function to belong to the Hardy space Hp.http://dx.doi.org/10.1155/2016/1896154 |
| spellingShingle | Mohsan Raza Muhey U Din Sarfraz Nawaz Malik Certain Geometric Properties of Normalized Wright Functions Journal of Function Spaces |
| title | Certain Geometric Properties of Normalized Wright Functions |
| title_full | Certain Geometric Properties of Normalized Wright Functions |
| title_fullStr | Certain Geometric Properties of Normalized Wright Functions |
| title_full_unstemmed | Certain Geometric Properties of Normalized Wright Functions |
| title_short | Certain Geometric Properties of Normalized Wright Functions |
| title_sort | certain geometric properties of normalized wright functions |
| url | http://dx.doi.org/10.1155/2016/1896154 |
| work_keys_str_mv | AT mohsanraza certaingeometricpropertiesofnormalizedwrightfunctions AT muheyudin certaingeometricpropertiesofnormalizedwrightfunctions AT sarfraznawazmalik certaingeometricpropertiesofnormalizedwrightfunctions |