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Coefficient Bounds for a Subclass of Bi-Univalent Functions

Alifira Meliana Rachman, Marjono Marjono, Sa’adatul Fitri
July 15, 2026
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Research Abstract & Technology Focus

In this paper, we obtain explicit upper bounds for the initial seven coefficients and their inverses for a subclass of bi-univalent functions defined via subordination. Using coefficient estimates associated with the Carathodory class and coefficient comparison techniques, expressions for the bounds of a2, a3, , a7 are derived. Moreover, it is proved that the first seven inverse coefficients admit the same upper bounds as the corresponding coefficients of the original function. These findings generalize several existing results concerning lower-order coefficients and provide a framework for further investigations of higher-order coefficient and Hankel determinant problems in the theory of bi-univalent functions.
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This literature focuses on: In this paper, we obtain explicit upper bounds for the initial seven coefficients and their inverses for a subclass of bi-univalent functions defined via subordination. Using coefficient estimates associated with the Carathodory class and coeffici...

What other academic literature is closely related to 'Coefficient Bounds for a Subclass of Bi-Univalent Functions'?

Yes, highly correlated activity was mapped. An entry titled 'Bilinear Bäcklund Transformations, as well as N-Soliton, Breather, Fission/Fusion and Hybrid Solutions for a (3+1)-Dimensional Integrable Wave Equation in a Fluid' discusses this: No description provided.

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Yes, highly correlated activity was mapped. An entry titled 'Show HN: Salt – a systems language with Z3 theorem proving in the compiler' discusses this: Bounds and div-by-zero are the easy wins; the real tax with contract systems is the loop invariant Z3 can't infer on its own, where you end up hand...

How is the concept of 'Coefficient Bounds for a Subclass of Bi-Univalent Functions' being discussed by engineers on StackExchange?

Yes, highly correlated activity was mapped. An entry titled 'Optimizing a Gaussian penalty function for HSL color compatibility in PyTorch/NumPy' discusses this: np.exp(- (hue_diff ** 2) / (2 * sigma ** 2)) Here, 2 * sigma ** 2 is a constant for every array value. Is you compiler clever enough to optimize t...

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