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math.CA2008
Apery, Bessel, Calabi-Yau and Verrill
Gert Almkvist
A differential equation related to the moments of Bessel functions is shown to have a solution at infinity with coefficients being squares of binomial coefficients.
math.CA2008
Computation of a Feynman integral
Gert Almkvist
A Feymnan integral is computed exactly using LLL
math.CA2003★ 1 cited
A Four-parametric Rational Solution to Painleve' VI
Gert Almkvist
Starting with a rational solution to Painleve' VI, coming from a Riccati equation, using Okamoto's theory a four-parametric rational solution is obtained.
math.CA2003★ 1 cited
Some Rational Solutions to Painleve' VI
Gert Almkvist
Starting with a Riccati equation solved by hypergeometric functions, some sequences of rational solutions to Painleve' VI are obtained.