68 citations · 113 across the 19 of their papers we have counts for
4 papers · 1 filter
First memoir on the asymptotics of certain infinite products
Wadim Zudilin
The product sides of the Rogers--Ramanujan identities and alike often appear to be "transparently modular" (functions). The old work by Rogers (1894) and recent work by Rosengren m…
An evolution of matrix-valued orthogonal polynomials
Erik Koelink, Pablo Román, Wadim Zudilin
We establish new explicit connections between classical (scalar) and matrix Gegenbauer polynomials, which result in new symmetries of the latter and further give access to several…
A partial-sum deformation for a family of orthogonal polynomials
Erik Koelink, Pablo Román, Wadim Zudilin
There are several questions one may ask about polynomials attached to a family of orthogonal polynomials . In this note…
Densities of short uniform random walks
Jonathan M. Borwein, Armin Straub, James Wan +1
We study the densities of uniform random walks in the plane. A special focus is on the case of short walks with three or four steps and less completely those with five steps. As on…