Zihao Zhang

collaborators

3 papers

math.CO2026

Hankel Transform and $(α, β)$ Somos-4 Sequences

Feihu Liu, Ying Wang, Zihao Zhang

An $(α, β)$ Somos- $4$ sequence $S_{n}$ is defined by the recurrence $S_{n} S_{n - 4} = α S_{n - 1} S_{n - 3} + β S_{n - 2}^{2}$ ( $n \geq 4$ ), with suitable initial values, where $α$ and $β$ are constant p…

math.CO2026

Proof of Barry's Four Hankel Determinant Conjectures

Feihu Liu, Ying Wang, Zihao Zhang

Barry introduced a central transform of integer sequences and proposed four conjectures concerning the Hankel transforms of central transform of four rational families. We prove th…

math.CO2025

Hankel Determinants for Convolution of Power Series: An Extension of Cigler's Results

Feihu Liu, Ying Wang, Yingrui Zhang +1

Cigler considered certain shifted Hankel determinants of convolution powers of Catalan numbers and conjectured identities for these determinants. Recently, Fulmek gave a bijective…

Hankel Transform and (α,β) Somos-4 Sequences

Proof of Barry's Four Hankel Determinant Conjectures

Hankel Determinants for Convolution of Power Series: An Extension of Cigler's Results

Hankel Transform and $(α, β)$ Somos-4 Sequences