Applications of Modified Sigmoid Functions to a Class of Starlike Functions
The main focus of this investigation is the applications of modified sigmoid functions. Due to its various uses in physics, engineering, and computer science, we discuss several geometric properties like necessary and sufficient conditions in the form of convolutions for functions to be in the speci...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8844814 |
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| _version_ | 1850164201549463552 |
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| author | Muhammad Ghaffar Khan Bakhtiar Ahmad Gangadharan Murugusundaramoorthy Ronnason Chinram Wali Khan Mashwani |
| author_facet | Muhammad Ghaffar Khan Bakhtiar Ahmad Gangadharan Murugusundaramoorthy Ronnason Chinram Wali Khan Mashwani |
| author_sort | Muhammad Ghaffar Khan |
| collection | DOAJ |
| description | The main focus of this investigation is the applications of modified sigmoid functions. Due to its various uses in physics, engineering, and computer science, we discuss several geometric properties like necessary and sufficient conditions in the form of convolutions for functions to be in the special class SSG∗ earlier introduced by Goel and Kumar and obtaining third-order Hankel determinant for this class using modified sigmoid functions. Also, the third-order Hankel determinant for 2- and 3-fold symmetric functions of this class is evaluated. |
| format | Article |
| id | doaj-art-ea83c1c4cd024b979c8ef27e2f70544b |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ea83c1c4cd024b979c8ef27e2f70544b2025-08-20T02:22:02ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88448148844814Applications of Modified Sigmoid Functions to a Class of Starlike FunctionsMuhammad Ghaffar Khan0Bakhtiar Ahmad1Gangadharan Murugusundaramoorthy2Ronnason Chinram3Wali Khan Mashwani4Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, PakistanGovernment Degree College Mardan, 23200 Mardan, PakistanDepartment of Mathematics, SAS, Vellore Institute of Technology, Vellore 632014, IndiaAlgebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, ThailandInstitute of Numerical Sciences, Kohat University of Science and Technology, Kohat, PakistanThe main focus of this investigation is the applications of modified sigmoid functions. Due to its various uses in physics, engineering, and computer science, we discuss several geometric properties like necessary and sufficient conditions in the form of convolutions for functions to be in the special class SSG∗ earlier introduced by Goel and Kumar and obtaining third-order Hankel determinant for this class using modified sigmoid functions. Also, the third-order Hankel determinant for 2- and 3-fold symmetric functions of this class is evaluated.http://dx.doi.org/10.1155/2020/8844814 |
| spellingShingle | Muhammad Ghaffar Khan Bakhtiar Ahmad Gangadharan Murugusundaramoorthy Ronnason Chinram Wali Khan Mashwani Applications of Modified Sigmoid Functions to a Class of Starlike Functions Journal of Function Spaces |
| title | Applications of Modified Sigmoid Functions to a Class of Starlike Functions |
| title_full | Applications of Modified Sigmoid Functions to a Class of Starlike Functions |
| title_fullStr | Applications of Modified Sigmoid Functions to a Class of Starlike Functions |
| title_full_unstemmed | Applications of Modified Sigmoid Functions to a Class of Starlike Functions |
| title_short | Applications of Modified Sigmoid Functions to a Class of Starlike Functions |
| title_sort | applications of modified sigmoid functions to a class of starlike functions |
| url | http://dx.doi.org/10.1155/2020/8844814 |
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