On Sharp Bound of the Third Hankel Determinant for Functions in 𝒮∗(α)

Neha Verma; S. Sivaprasad Kumar

doi:10.1002/mma.11091

May 24, 2025Mathematical Methods in the Applied SciencesOpen Access

On Sharp Bound of the Third Hankel Determinant for Functions in 𝒮∗(α)

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Key Points

To establish an estimation for the sharp upper bound of the third-order Hankel determinant for starlike functions of order α over the interval [0, 1/√2].
Applied analytical methods from geometric function theory to evaluate the coefficient inequalities of univalent functions.
Constrained parameter evaluations to the order interval where α ranges from 0 to 1/√2.
Derived an explicit estimation for the sharp bound of the third-order Hankel determinant within the specified class of starlike functions.
Characterized the maximal determinant growth across the defined order parameter interval α ∈ [0, 1/√2].

Implication

Theoretical analysis reveals the sharp bound of third-order Hankel determinants in starlike functions, clarifying coefficient behavior in geometric function theory.

Abstract

In this paper, we provide an estimation for the sharp bound of the third‐order Hankel determinant of starlike functions of order , where ranges in the interval .

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Cite This Study

Verma et al. (2025) studied this question.

synapsesocial.com/papers/6a1530fb37103a43379f5c6d https://doi.org/10.1002/mma.11091

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On Sharp Bound of the Third Hankel Determinant for Functions in 𝒮∗(α)

Key Points

Implication

Abstract

Discussion

Cite This Study

On Sharp Bound of the Third Hankel Determinant for Functions in 𝒮∗(α)

Key Points

Implication

Abstract

Discussion

Cite This Study

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