On the Third Hankel Determinant of Certain Subclass of Bi-Univalent Functions
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Bibliographic record
Abstract
In this study, we introduce a novel subclass of bi-univalent functions, which are of considerable interest in various fields of mathematics, including complex analysis and geometric function theory.By employing the property of subordination, we define these bi-univalent functions as ℛ(, , ) and impose constraints on the coefficients | |.Our investigation provides the upper bounds for the bi-univalent functions in this newly developed subclass, specifically for n=2, 3, 4, and 5.We then derive the third Hankel determinant for this particular class, which reveals several intriguing scenarios.These findings contribute to the broader understanding of bi-univalent functions and their potential applications in diverse mathematical contexts.Notably, the results obtained may serve as a foundation for future investigations into the properties and applications of bi-univalent functions and their subclasses.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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