Bi-Univalent Function Classes Defined by Using a Second Einstein Function
Motivated by q-calculus, subordination principle, and the second Einstein function, we define two families of bi-univalent analytic functions on the open unit disc of the complex plane. We deduce estimates for the first two Maclaurin’s coefficients and the Fekete-Sezgö functional inequalities for th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6933153 |
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| _version_ | 1832551084276580352 |
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| author | Alaa H. El-Qadeem Saleh A. Saleh Mohamed A. Mamon |
| author_facet | Alaa H. El-Qadeem Saleh A. Saleh Mohamed A. Mamon |
| author_sort | Alaa H. El-Qadeem |
| collection | DOAJ |
| description | Motivated by q-calculus, subordination principle, and the second Einstein function, we define two families of bi-univalent analytic functions on the open unit disc of the complex plane. We deduce estimates for the first two Maclaurin’s coefficients and the Fekete-Sezgö functional inequalities for the functions that belong to these families of functions. |
| format | Article |
| id | doaj-art-e15c428a5c3645a08e314bcc90c09466 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e15c428a5c3645a08e314bcc90c094662025-02-03T06:05:11ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6933153Bi-Univalent Function Classes Defined by Using a Second Einstein FunctionAlaa H. El-Qadeem0Saleh A. Saleh1Mohamed A. Mamon2Department of MathematicsDepartment of MathematicsDepartment of MathematicsMotivated by q-calculus, subordination principle, and the second Einstein function, we define two families of bi-univalent analytic functions on the open unit disc of the complex plane. We deduce estimates for the first two Maclaurin’s coefficients and the Fekete-Sezgö functional inequalities for the functions that belong to these families of functions.http://dx.doi.org/10.1155/2022/6933153 |
| spellingShingle | Alaa H. El-Qadeem Saleh A. Saleh Mohamed A. Mamon Bi-Univalent Function Classes Defined by Using a Second Einstein Function Journal of Function Spaces |
| title | Bi-Univalent Function Classes Defined by Using a Second Einstein Function |
| title_full | Bi-Univalent Function Classes Defined by Using a Second Einstein Function |
| title_fullStr | Bi-Univalent Function Classes Defined by Using a Second Einstein Function |
| title_full_unstemmed | Bi-Univalent Function Classes Defined by Using a Second Einstein Function |
| title_short | Bi-Univalent Function Classes Defined by Using a Second Einstein Function |
| title_sort | bi univalent function classes defined by using a second einstein function |
| url | http://dx.doi.org/10.1155/2022/6933153 |
| work_keys_str_mv | AT alaahelqadeem biunivalentfunctionclassesdefinedbyusingasecondeinsteinfunction AT salehasaleh biunivalentfunctionclassesdefinedbyusingasecondeinsteinfunction AT mohamedamamon biunivalentfunctionclassesdefinedbyusingasecondeinsteinfunction |