Certain Geometric Properties of Lommel and Hyper-Bessel Functions
In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions. Strongly starlikeness and convexity of Lommel functions and hyper-Bessel functions are also discu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/7/3/240 |
| _version_ | 1811315118041989120 |
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| author | Saima Mushtaq Mohsan Raza Muhey U Din |
| author_facet | Saima Mushtaq Mohsan Raza Muhey U Din |
| author_sort | Saima Mushtaq |
| collection | DOAJ |
| description | In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions. Strongly starlikeness and convexity of Lommel functions and hyper-Bessel functions are also discussed. Some applications are also the part of our investigation. |
| first_indexed | 2024-04-13T11:24:36Z |
| format | Article |
| id | doaj.art-aa587d4160094ba9b6771b4292db4b32 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-13T11:24:36Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-aa587d4160094ba9b6771b4292db4b322022-12-22T02:48:44ZengMDPI AGMathematics2227-73902019-03-017324010.3390/math7030240math7030240Certain Geometric Properties of Lommel and Hyper-Bessel FunctionsSaima Mushtaq0Mohsan Raza1Muhey U Din2Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, PakistanDepartment of Mathematics, Government College University Faisalabad, Faisalabad 38000, PakistanDepartment of Mathematics, Government Post Graduate Islamia College Faisalabad, Faisalabad 38000, PakistanIn this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions. Strongly starlikeness and convexity of Lommel functions and hyper-Bessel functions are also discussed. Some applications are also the part of our investigation.http://www.mdpi.com/2227-7390/7/3/240close-to-convexityanalytic functionsnormalized lommel functionsnormalized hyper-bessel functionsstrongly convexitystrongly starlikeness |
| spellingShingle | Saima Mushtaq Mohsan Raza Muhey U Din Certain Geometric Properties of Lommel and Hyper-Bessel Functions Mathematics close-to-convexity analytic functions normalized lommel functions normalized hyper-bessel functions strongly convexity strongly starlikeness |
| title | Certain Geometric Properties of Lommel and Hyper-Bessel Functions |
| title_full | Certain Geometric Properties of Lommel and Hyper-Bessel Functions |
| title_fullStr | Certain Geometric Properties of Lommel and Hyper-Bessel Functions |
| title_full_unstemmed | Certain Geometric Properties of Lommel and Hyper-Bessel Functions |
| title_short | Certain Geometric Properties of Lommel and Hyper-Bessel Functions |
| title_sort | certain geometric properties of lommel and hyper bessel functions |
| topic | close-to-convexity analytic functions normalized lommel functions normalized hyper-bessel functions strongly convexity strongly starlikeness |
| url | http://www.mdpi.com/2227-7390/7/3/240 |
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