68 citations · 90 across the 9 of their papers we have counts for
9 papers
Some Double Sums Involving Ratios of Binomial Coefficients Arising From Urn Models
David Stenlund, James G. Wan
In this paper we discuss a class of double sums involving ratios of binomial coefficients. The sums are of the form \[ \sum_{j=0}^{n} \sum_{i=0}^j \frac{\binom{f_1(n)}{i}}{\binom{f…
Holonomic alchemy and series for
Shaun Cooper, James G. Wan, Wadim Zudilin
We adopt the "translation" as well as other techniques to express several identities conjectured by Z.-W. Sun in arXiv:1102.5649v47 by means of known formulas for involving D…
Integrals of and from Lattice Sums
J. G. Wan, I. J. Zucker
We give closed form evaluations for many families of integrals, whose integrands contain algebraic functions of the complete elliptic integrals and . Our methods exploit the…
Moments of elliptic integrals and critical -values
M. Rogers, J. G. Wan, I. J. Zucker
We compute the critical -values of some weight 3, 4, or 5 modular forms, by transforming them into integrals of the complete elliptic integral . In doing so, we prove closed…
Series for Using Legendre's Relation
James G. Wan
We present a new method for producing series for and other constants using Legendre's relation, starting from a generation function that can be factorised into two elliptic $…
Some Notes on Weighted Sum Formulae for Double Zeta Values
James Wan
We present a unified approach which gives completely elementary proofs of three weighted sum formulae for double zeta values. This approach also leads to new evaluations of sums re…