Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials
The main purpose of this article is to make use of the Horadam polynomials hnx and the generating function Πx,z, in order to introduce three new subclasses of the bi-univalent function class σ. For functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete–Sze...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/7391058 |
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| author | Chinnaswamy Abirami Nanjundan Magesh Jagadeesan Yamini |
| author_facet | Chinnaswamy Abirami Nanjundan Magesh Jagadeesan Yamini |
| author_sort | Chinnaswamy Abirami |
| collection | DOAJ |
| description | The main purpose of this article is to make use of the Horadam polynomials hnx and the generating function Πx,z, in order to introduce three new subclasses of the bi-univalent function class σ. For functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete–Szegö inequalities. Some interesting observations of the results presented here are also discussed. We also provide relevant connections of our results with those considered in earlier investigations. |
| format | Article |
| id | doaj-art-4a72c4e4288a419da8bf0811bd97f798 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4a72c4e4288a419da8bf0811bd97f7982025-02-03T05:53:14ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/73910587391058Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam PolynomialsChinnaswamy Abirami0Nanjundan Magesh1Jagadeesan Yamini2Faculty of Engineering and Technology, SRM University, Kattankulathur-603203, Tamilnadu, IndiaPost-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri 635001, Tamilnadu, IndiaDepartment of Mathematics, Govt First Grade College, Vijayanagar, Bangalore-560104, Karnataka, IndiaThe main purpose of this article is to make use of the Horadam polynomials hnx and the generating function Πx,z, in order to introduce three new subclasses of the bi-univalent function class σ. For functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete–Szegö inequalities. Some interesting observations of the results presented here are also discussed. We also provide relevant connections of our results with those considered in earlier investigations.http://dx.doi.org/10.1155/2020/7391058 |
| spellingShingle | Chinnaswamy Abirami Nanjundan Magesh Jagadeesan Yamini Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials Abstract and Applied Analysis |
| title | Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials |
| title_full | Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials |
| title_fullStr | Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials |
| title_full_unstemmed | Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials |
| title_short | Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials |
| title_sort | initial bounds for certain classes of bi univalent functions defined by horadam polynomials |
| url | http://dx.doi.org/10.1155/2020/7391058 |
| work_keys_str_mv | AT chinnaswamyabirami initialboundsforcertainclassesofbiunivalentfunctionsdefinedbyhoradampolynomials AT nanjundanmagesh initialboundsforcertainclassesofbiunivalentfunctionsdefinedbyhoradampolynomials AT jagadeesanyamini initialboundsforcertainclassesofbiunivalentfunctionsdefinedbyhoradampolynomials |