A criterion for univalence extension
This paper presents a study on the univalence extension of a specific class of functions defined by an integral operator. The research provides sufficient conditions for determining this univalence extension, which depend on two arbitrary analytic functions defined in the unit disk, alongside three...
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| Veröffentlicht in: | Afrika mathematica 2024-06, Vol.35 (2), Article 31 |
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| container_title | Afrika mathematica |
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| creator | Masih, Vali Soltani Rahmatan, Hormoz Taheri, Seyedeh Kolsum |
| description | This paper presents a study on the univalence extension of a specific class of functions defined by an integral operator. The research provides sufficient conditions for determining this univalence extension, which depend on two arbitrary analytic functions defined in the unit disk, alongside three complex numbers. The main result of the study includes these functions and parameters, and by specializing them, it leads to various well-known univalent conditions. The paper showcases examples to demonstrate how these conditions can be applied. |
| doi_str_mv | 10.1007/s13370-024-01172-x |
| format | Article |
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| ispartof | Afrika mathematica, 2024-06, Vol.35 (2), Article 31 |
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| subjects | Analytic functions Applications of Mathematics Complex numbers History of Mathematical Sciences Mathematical analysis Mathematics Mathematics and Statistics Mathematics Education Operators (mathematics) |
| title | A criterion for univalence extension |
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