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Szego Coefficient Functional 10.1063/1.5136359

The bounds for the Fekete-Szego coefficient functional associated with quasi-subordination for subclasses of meromorphic functions f defined on the open unit disk in the complex plane are obtained.

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Szego Coefficient Functional 10.15672/hujms.549313

Also Fekete-Szego coefficient functional associated with the $k$--th root transform $[f(z^k)]^{1/k}$ for functions in the class $\mathcal{B}_\theta(\alpha,\beta)$ is investigated.

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coefficient functional associated 10.1063/1.5136359

The bounds for the Fekete-Szego coefficient functional associated with quasi-subordination for subclasses of meromorphic functions f defined on the open unit disk in the complex plane are obtained.

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coefficient functional associated 10.15672/hujms.549313

Also Fekete-Szego coefficient functional associated with the $k$--th root transform $[f(z^k)]^{1/k}$ for functions in the class $\mathcal{B}_\theta(\alpha,\beta)$ is investigated.

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10.1515/ms-2017-0289

By establishing bounds on some coefficient functionals for the family of functions with positive real part, we derive for functions in the class SB∗ $\begin{array}{} \mathcal{S}^*_B \end{array}$ several sharp coefficient bounds on the first six coefficients and also further sharp bounds on the corresponding Hankel determinants.

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10.3390/sym11081026

As a consequence, we conclude that the coefficient functionals are continuous if and only if the canonical projections are also continuous (this is a trivial fact in normed spaces but not in topological vector spaces).

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Coefficient Functional

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Nov 30, 2023

What is/are Coefficient Functional?

Coefficient Functional - By establishing bounds on some coefficient functionals for the family of functions with positive real part, we derive for functions in the class SB∗ $\begin{array}{} \mathcal{S}^*_B \end{array}$ several sharp coefficient bounds on the first six coefficients and also further sharp bounds on the corresponding Hankel determinants. ^[1] As a consequence, we conclude that the coefficient functionals are continuous if and only if the canonical projections are also continuous (this is a trivial fact in normed spaces but not in topological vector spaces). ^[2]

Szego Coefficient Functional

The bounds for the Fekete-Szego coefficient functional associated with quasi-subordination for subclasses of meromorphic functions f defined on the open unit disk in the complex plane are obtained. ^[1] Also Fekete-Szego coefficient functional associated with the $k$--th root transform $[f(z^k)]^{1/k}$ for functions in the class $\mathcal{B}_\theta(\alpha,\beta)$ is investigated. ^[2]