Zihao Zhang

activity

20232026

collaborators

Showing 2026Show all

2 papers · 1 filter

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…

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

Proof of Barry's Four Hankel Determinant Conjectures

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