Hong Chen

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20242026

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math.CO2026

Correlation inequalities for Schur positivity

Swee Hong Chan, Hong Chen, Igor Pak +1

We generalize the Ahlswede--Daykin inequality (1978) to a Schur positive \emph{ADS inequality}, which also contains the Lam--Postnikov--Pylyavskyy inequality (2007) as a special ca…

math.CO2026

A Characterization of the Macdonald Hypergeometric Series $_{r} Φ_{s} (x; q, t)$ and $_{r} Φ_{s} (x, y; q, t)$ via $q$ -Difference Equations

Hong Chen

In two widely circulated manuscripts from the 1980s, I. G. Macdonald introduced certain multivariate hypergeometric series $_{p} F_{q} (x; α)$ and $_{p} F_{q} (x, y; α)$ and their $q$ -analogs…

Correlation inequalities for Schur positivity

A Characterization of the Macdonald Hypergeometric Series r​Φs​(x;q,t) and r​Φs​(x,y;q,t) via q-Difference Equations

A Characterization of the Macdonald Hypergeometric Series $_{r} Φ_{s} (x; q, t)$ and $_{r} Φ_{s} (x, y; q, t)$ via $q$ -Difference Equations