The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions
Hankel matrices are related to a wide range of disparate determinant computations and algorithms and some very attractive computational properties are allocated to them. Also, the Hankel determinants are crucial factors in the research of singularities and power series with integral coefficients. It...
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| Format: | Article |
| Language: | English |
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ITB Journal Publisher
2019-08-01
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| Series: | Journal of Mathematical and Fundamental Sciences |
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| Online Access: | http://journals.itb.ac.id/index.php/jmfs/article/view/3843 |
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| author | Mohammad Hasan Khani Ahmad Zireh Ebrahim Analouei Adegani |
| author_facet | Mohammad Hasan Khani Ahmad Zireh Ebrahim Analouei Adegani |
| author_sort | Mohammad Hasan Khani |
| collection | DOAJ |
| description | Hankel matrices are related to a wide range of disparate determinant computations and algorithms and some very attractive computational properties are allocated to them. Also, the Hankel determinants are crucial factors in the research of singularities and power series with integral coefficients. It is specified that the Fekete-Szegö functional and the second Hankel determinant are equivalent to H_1 (2) and H_2 (2), respectively. In this study, the upper bounds were obtained for the second Hankel determinant of the subclass of bi-univalent functions, which is defined by subordination. It is worth noticing that the bounds rendered in the present paper generalize and modify some previous results. |
| first_indexed | 2024-04-13T00:49:02Z |
| format | Article |
| id | doaj.art-b34c15589d57451a8ea9f5adba39c6ae |
| institution | Directory Open Access Journal |
| issn | 2337-5760 2338-5510 |
| language | English |
| last_indexed | 2024-04-13T00:49:02Z |
| publishDate | 2019-08-01 |
| publisher | ITB Journal Publisher |
| record_format | Article |
| series | Journal of Mathematical and Fundamental Sciences |
| spelling | doaj.art-b34c15589d57451a8ea9f5adba39c6ae2022-12-22T03:09:56ZengITB Journal PublisherJournal of Mathematical and Fundamental Sciences2337-57602338-55102019-08-0151219120310.5614/j.math.fund.sci.2019.51.2.8The Second Hankel Determinant Problem for a Class of Bi-Univalent FunctionsMohammad Hasan Khani0Ahmad Zireh1Ebrahim Analouei Adegani2Department of Mathematics, Islamic Azad University, Shahinshahr Branch, Shahinshahr, IranFaculty of Mathematical Sciences, Shahrood University of Technology, PO Box 316-36155, Shahrood, IranFaculty of Mathematical Sciences, Shahrood University of Technology, PO Box 316-36155, Shahrood, IranHankel matrices are related to a wide range of disparate determinant computations and algorithms and some very attractive computational properties are allocated to them. Also, the Hankel determinants are crucial factors in the research of singularities and power series with integral coefficients. It is specified that the Fekete-Szegö functional and the second Hankel determinant are equivalent to H_1 (2) and H_2 (2), respectively. In this study, the upper bounds were obtained for the second Hankel determinant of the subclass of bi-univalent functions, which is defined by subordination. It is worth noticing that the bounds rendered in the present paper generalize and modify some previous results.http://journals.itb.ac.id/index.php/jmfs/article/view/3843bi-univalent functionsHankel determinantsubordinate |
| spellingShingle | Mohammad Hasan Khani Ahmad Zireh Ebrahim Analouei Adegani The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions Journal of Mathematical and Fundamental Sciences bi-univalent functions Hankel determinant subordinate |
| title | The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions |
| title_full | The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions |
| title_fullStr | The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions |
| title_full_unstemmed | The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions |
| title_short | The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions |
| title_sort | second hankel determinant problem for a class of bi univalent functions |
| topic | bi-univalent functions Hankel determinant subordinate |
| url | http://journals.itb.ac.id/index.php/jmfs/article/view/3843 |
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