Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid
In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions. Further, we investigate the fourth-order Hankel determinant, Zalcman conjecture, and also evaluate the fourth-order Hankel determinants for...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6116172 |
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| _version_ | 1832546031088173056 |
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| author | Wali Khan Mashwani Bakhtiar Ahmad Nazar Khan Muhammad Ghaffar Khan Sama Arjika Bilal Khan Ronnason Chinram |
| author_facet | Wali Khan Mashwani Bakhtiar Ahmad Nazar Khan Muhammad Ghaffar Khan Sama Arjika Bilal Khan Ronnason Chinram |
| author_sort | Wali Khan Mashwani |
| collection | DOAJ |
| description | In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions. Further, we investigate the fourth-order Hankel determinant, Zalcman conjecture, and also evaluate the fourth-order Hankel determinants for 2-fold, 3-fold, and 4-fold symmetric starlike functions. |
| format | Article |
| id | doaj-art-efe819a88026459a845a0eb6ee7daa86 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-efe819a88026459a845a0eb6ee7daa862025-02-03T07:24:09ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/6116172Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified SigmoidWali Khan Mashwani0Bakhtiar Ahmad1Nazar Khan2Muhammad Ghaffar Khan3Sama Arjika4Bilal Khan5Ronnason Chinram6Institute of Numerical SciencesGovt. Degree College MardanDepartment of MathematicsInstitute of Numerical SciencesDepartment of Mathematics and InformaticsSchool of Mathematical Sciences and Shanghai Key Laboratory of PMMPAlgebra and Applications Research UnitIn our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions. Further, we investigate the fourth-order Hankel determinant, Zalcman conjecture, and also evaluate the fourth-order Hankel determinants for 2-fold, 3-fold, and 4-fold symmetric starlike functions.http://dx.doi.org/10.1155/2021/6116172 |
| spellingShingle | Wali Khan Mashwani Bakhtiar Ahmad Nazar Khan Muhammad Ghaffar Khan Sama Arjika Bilal Khan Ronnason Chinram Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid Journal of Function Spaces |
| title | Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid |
| title_full | Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid |
| title_fullStr | Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid |
| title_full_unstemmed | Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid |
| title_short | Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid |
| title_sort | fourth hankel determinant for a subclass of starlike functions based on modified sigmoid |
| url | http://dx.doi.org/10.1155/2021/6116172 |
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