Moments of the free Jacobi process: a matrix approach

Autor: Demni, Nizar, Hamdi, Tarek
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We compute the large size limit of the moment formula derived in \cite{DHS} for the Hermitian Jacobi process at fixed time. Our computations rely on the polynomial division algorithm which allows to obtain cancellations similar to those obtained in Lemma 3 in \cite{Bia}. In particular, we identify the terms contributing to the limit and show they satisfy a double recurrence relation. We also determine explicitly some of them and revisit a special case relying on Carlitz summation identity for terminating $1$-balanced ${}_4F_3$ functions taken at unity.
Databáze: arXiv