A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers
By using k-Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type gz=z+∑j=2∞ djzj in the open unit disc D. We estimate the upper bounds on initial coefficients and also the functional of Fekete-Szegö for functions in this family. We also discuss few int...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4249509 |
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| author | Basem Aref Frasin Sondekola Rudra Swamy Ibtisam Aldawish |
| author_facet | Basem Aref Frasin Sondekola Rudra Swamy Ibtisam Aldawish |
| author_sort | Basem Aref Frasin |
| collection | DOAJ |
| description | By using k-Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type gz=z+∑j=2∞ djzj in the open unit disc D. We estimate the upper bounds on initial coefficients and also the functional of Fekete-Szegö for functions in this family. We also discuss few interesting observations and provide relevant connections of the result investigated. |
| format | Article |
| id | doaj-art-0a5d77a4fd384a09bd8f62cffee63593 |
| 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-0a5d77a4fd384a09bd8f62cffee635932025-02-03T06:44:03ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/4249509A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci NumbersBasem Aref Frasin0Sondekola Rudra Swamy1Ibtisam Aldawish2Faculty of ScienceDepartment of Computer Science and EngineeringDepartment of Mathematics and StatisticsBy using k-Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type gz=z+∑j=2∞ djzj in the open unit disc D. We estimate the upper bounds on initial coefficients and also the functional of Fekete-Szegö for functions in this family. We also discuss few interesting observations and provide relevant connections of the result investigated.http://dx.doi.org/10.1155/2021/4249509 |
| spellingShingle | Basem Aref Frasin Sondekola Rudra Swamy Ibtisam Aldawish A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers Journal of Function Spaces |
| title | A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers |
| title_full | A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers |
| title_fullStr | A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers |
| title_full_unstemmed | A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers |
| title_short | A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers |
| title_sort | comprehensive family of biunivalent functions defined by k fibonacci numbers |
| url | http://dx.doi.org/10.1155/2021/4249509 |
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