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Bibliographic Details
Main Authors: Demni, Nizar, Hamdi, Tarek
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.11708
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Table of Contents:
  • 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.