Yajun Zhou

activity

20042026

most citedLegendre Functions, Spherical Rotations, and Multiple Elliptic Integrals

26 citations · 144 across the 37 of their papers we have counts for

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Showing 2017 · math.CAShow all

3 papers · 2 filters

math.CA2017★ 17 cited

Wrońskian factorizations and Broadhurst-Mellit determinant formulae

Yajun Zhou

Drawing on Vanhove's contributions to mixed Hodge structures for Feynman integrals in two-di\-men\-sion\-al quantum field theory, we compute two families of determinants whose entr…

math.CA2017★ 5 cited

On Borwein's conjectures for planar uniform random walks

Yajun Zhou

Let $p_{n} (x) = \int_{0}^{\infty} J_{0} (x t) [J_{0} (t)]^{n} x t d t$ be Kluyver's probability density for $n$ -step uniform random walks in the Euclidean plane. Through connection to a…

math.CA2017★ 7 cited

Hilbert Transforms and Sum Rules of Bessel Moments

Yajun Zhou

Using Hilbert transforms, we establish two families of sum rules involving Bessel moments, which are integrals associated with Feynman diagrams in two-dimensional quantum field the…