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July 6, 2026Bulletin of the Malaysian Mathematical Sciences SocietyOpen Access

Hankel Determinants for Holomorphic Functions and Biholomorphic Mappings in Banach Spaces

Renata Długosz Piotr Liczberski Edyta Trybucka

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Key Points

This work focuses on estimating the determinant of second-order Hankel functional matrices for holomorphic functions in Banach spaces.
Estimates are derived for the determinant of the Hankel functional matrix H2^1 based on Q-factors of holomorphic functions.
A sharp estimate for the determinant of the scalar matrix H2^2 is provided.
The study uses properties of homogeneous polynomial series expansions.
A precise estimate for the second-order Hankel determinant is established, enhancing understanding of functional behavior in Banach spaces.
The relationships between the determinant values and holomorphic mappings are explored mathematically.

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Implication

Study estimates the determinant of Hankel matrices in Banach spaces, highlighting functional relationships.

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Cite This Study

Długosz et al. (2026) studied this question.

synapsesocial.com/papers/6a4de804d2ea289ef6282d81 https://doi.org/10.1007/s40840-026-02137-y

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