Bi-Univalency of <i>m</i>-Fold Symmetric Functions Associated with a Generalized Distribution
The <i>m</i>-fold symmetric in terms of a generalized distribution series has not been considered in the literature. In this study, however, the authors investigated the bi-univalency of <i>m</i>-fold symmetric functions for the generalized distribution of two subclasses of a...
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MDPI AG
2024-01-01
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| Online Access: | https://www.mdpi.com/2227-7390/12/2/169 |
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| author | Sunday Oluwafemi Olatunji Fethiye Müge Sakar Nicoleta Breaz Seher Melike Aydoǧan Matthew Olanrewaju Oluwayemi |
| author_facet | Sunday Oluwafemi Olatunji Fethiye Müge Sakar Nicoleta Breaz Seher Melike Aydoǧan Matthew Olanrewaju Oluwayemi |
| author_sort | Sunday Oluwafemi Olatunji |
| collection | DOAJ |
| description | The <i>m</i>-fold symmetric in terms of a generalized distribution series has not been considered in the literature. In this study, however, the authors investigated the bi-univalency of <i>m</i>-fold symmetric functions for the generalized distribution of two subclasses of analytic functions. The initial few coefficient bounds <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="|" close="|"><mfrac><msub><mi>a</mi><mi>m</mi></msub><mi>S</mi></mfrac></mfenced></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="|" close="|"><mfrac><msub><mi>a</mi><mrow><mn>2</mn><mi>m</mi></mrow></msub><mi>S</mi></mfrac></mfenced></semantics></math></inline-formula> are obtained for the two subclasses of functions defined and the results serve as a new generalization in this direction. |
| first_indexed | 2024-03-08T10:42:18Z |
| format | Article |
| id | doaj.art-71de7e0991344b4f9b8e16bb7090ee44 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-08T10:42:18Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-71de7e0991344b4f9b8e16bb7090ee442024-01-26T17:30:53ZengMDPI AGMathematics2227-73902024-01-0112216910.3390/math12020169Bi-Univalency of <i>m</i>-Fold Symmetric Functions Associated with a Generalized DistributionSunday Oluwafemi Olatunji0Fethiye Müge Sakar1Nicoleta Breaz2Seher Melike Aydoǧan3Matthew Olanrewaju Oluwayemi4Department of Mathematical Sciences, Federal University of Technology, Akure 340110, Ondo State, NigeriaDepartment of Management, Dicle University, Diyarbakır 21280, TurkeyDepartment of Computer Science, Mathematics and Electronics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, RomaniaDepartment of Mathematics, Istanbul Technical University, Istanbul 34485, TurkeyDepartment of Mathematics and Statistics, Margaret Lawrence University, Galilee 321108, Delta State, NigeriaThe <i>m</i>-fold symmetric in terms of a generalized distribution series has not been considered in the literature. In this study, however, the authors investigated the bi-univalency of <i>m</i>-fold symmetric functions for the generalized distribution of two subclasses of analytic functions. The initial few coefficient bounds <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="|" close="|"><mfrac><msub><mi>a</mi><mi>m</mi></msub><mi>S</mi></mfrac></mfenced></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="|" close="|"><mfrac><msub><mi>a</mi><mrow><mn>2</mn><mi>m</mi></mrow></msub><mi>S</mi></mfrac></mfenced></semantics></math></inline-formula> are obtained for the two subclasses of functions defined and the results serve as a new generalization in this direction.https://www.mdpi.com/2227-7390/12/2/169univalent functionanalytic function<i>m</i>-fold symmetricdistribution seriesstar-like functionconvex function |
| spellingShingle | Sunday Oluwafemi Olatunji Fethiye Müge Sakar Nicoleta Breaz Seher Melike Aydoǧan Matthew Olanrewaju Oluwayemi Bi-Univalency of <i>m</i>-Fold Symmetric Functions Associated with a Generalized Distribution Mathematics univalent function analytic function <i>m</i>-fold symmetric distribution series star-like function convex function |
| title | Bi-Univalency of <i>m</i>-Fold Symmetric Functions Associated with a Generalized Distribution |
| title_full | Bi-Univalency of <i>m</i>-Fold Symmetric Functions Associated with a Generalized Distribution |
| title_fullStr | Bi-Univalency of <i>m</i>-Fold Symmetric Functions Associated with a Generalized Distribution |
| title_full_unstemmed | Bi-Univalency of <i>m</i>-Fold Symmetric Functions Associated with a Generalized Distribution |
| title_short | Bi-Univalency of <i>m</i>-Fold Symmetric Functions Associated with a Generalized Distribution |
| title_sort | bi univalency of i m i fold symmetric functions associated with a generalized distribution |
| topic | univalent function analytic function <i>m</i>-fold symmetric distribution series star-like function convex function |
| url | https://www.mdpi.com/2227-7390/12/2/169 |
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