Asymptotic expansion of the hard-to-soft edge transition
Mathematical Physics
2025-10-14 v2 math.MP
Abstract
By showing that the symmetrically transformed Bessel kernel admits a full asymptotic expansion for large parameter, we establish a hard-to-soft edge transition expansion. This resolves a conjecture recently proposed by Bornemann.
Keywords
Cite
@article{arxiv.2309.06733,
title = {Asymptotic expansion of the hard-to-soft edge transition},
author = {Luming Yao and Lun Zhang},
journal= {arXiv preprint arXiv:2309.06733},
year = {2025}
}
Comments
28 pages, 5 figures