Second Hankel Determinant for Strongly Bi-Starlike of order α
Let A denote the class of functions f (z) = z + �∞ n=2 anz n which are analytic in the open unit disc U = {z : |z| < 1}. Let S denote the class of all functions in A that are univalent in U. A function f ∈ A is said to be bi-univalent in U if both f and f −1 are univalent in U. Let denote the cla...
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| Format: | Article |
| Language: | English English |
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2018
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| Online Access: | https://eprints.ums.edu.my/id/eprint/25749/1/Second%20Hankel%20Determinant%20for%20Strongly%20Bi-Starlike%20of%20order%20%CE%B1.pdf https://eprints.ums.edu.my/id/eprint/25749/2/Second%20Hankel%20Determinant%20for%20Strongly%20Bi-Starlike%20of%20order%20%CE%B1%201.pdf |
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| author | Chow Li Yong Aini Janteng Suzeini Abd. Halim |
| author_facet | Chow Li Yong Aini Janteng Suzeini Abd. Halim |
| author_sort | Chow Li Yong |
| collection | UMS |
| description | Let A denote the class of functions f (z) = z + �∞ n=2 anz n which are analytic in the open unit disc U = {z : |z| < 1}. Let S denote the class of all functions in A that are univalent in U. A function f ∈ A is said to be bi-univalent in U if both f and f −1 are univalent in U. Let denote the class of bi-univalent functions in U. In this paper, we obtained the upper bounds for the second Hankel functional |a2a4 − a2 3 | for strongly bi-starlike of order α. |
| first_indexed | 2024-03-06T03:04:07Z |
| format | Article |
| id | ums.eprints-25749 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:04:07Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | ums.eprints-257492021-04-19T04:36:23Z https://eprints.ums.edu.my/id/eprint/25749/ Second Hankel Determinant for Strongly Bi-Starlike of order α Chow Li Yong Aini Janteng Suzeini Abd. Halim Q Science (General) Let A denote the class of functions f (z) = z + �∞ n=2 anz n which are analytic in the open unit disc U = {z : |z| < 1}. Let S denote the class of all functions in A that are univalent in U. A function f ∈ A is said to be bi-univalent in U if both f and f −1 are univalent in U. Let denote the class of bi-univalent functions in U. In this paper, we obtained the upper bounds for the second Hankel functional |a2a4 − a2 3 | for strongly bi-starlike of order α. 2018 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/25749/1/Second%20Hankel%20Determinant%20for%20Strongly%20Bi-Starlike%20of%20order%20%CE%B1.pdf text en https://eprints.ums.edu.my/id/eprint/25749/2/Second%20Hankel%20Determinant%20for%20Strongly%20Bi-Starlike%20of%20order%20%CE%B1%201.pdf Chow Li Yong and Aini Janteng and Suzeini Abd. Halim (2018) Second Hankel Determinant for Strongly Bi-Starlike of order α. Global Journal of Pure and Applied Mathematics. er 6 (2018), pp. 841–849, 14 (6). pp. 841-849. ISSN 0973-1768 |
| spellingShingle | Q Science (General) Chow Li Yong Aini Janteng Suzeini Abd. Halim Second Hankel Determinant for Strongly Bi-Starlike of order α |
| title | Second Hankel Determinant for Strongly Bi-Starlike of order α |
| title_full | Second Hankel Determinant for Strongly Bi-Starlike of order α |
| title_fullStr | Second Hankel Determinant for Strongly Bi-Starlike of order α |
| title_full_unstemmed | Second Hankel Determinant for Strongly Bi-Starlike of order α |
| title_short | Second Hankel Determinant for Strongly Bi-Starlike of order α |
| title_sort | second hankel determinant for strongly bi starlike of order α |
| topic | Q Science (General) |
| url | https://eprints.ums.edu.my/id/eprint/25749/1/Second%20Hankel%20Determinant%20for%20Strongly%20Bi-Starlike%20of%20order%20%CE%B1.pdf https://eprints.ums.edu.my/id/eprint/25749/2/Second%20Hankel%20Determinant%20for%20Strongly%20Bi-Starlike%20of%20order%20%CE%B1%201.pdf |
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