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math.CA2015★ 2 cited
Sinc integrals and tiny numbers
Uwe Bäsel, Robert Baillie
We apply a result of David and Jon Borwein to evaluate a sequence of highly-oscillatory integrals whose integrands are the products of a rapidly growing number of sinc functions. T…
math.CA2008★ 1 cited
Summing the curious series of Kempner and Irwin
Robert Baillie
In 1914, Kempner proved that the series 1/1 + 1/2 + ... + 1/8 + 1/10 + 1/11 + ... + 1/18 + 1/20 + 1/21 + ... where the denominators are the positive integers that do not contain th…
math.CA2008
Fun With Fourier Series
Robert Baillie
By using computers to do experimental manipulations on Fourier series, we construct additional series with interesting properties. We construct several series whose sums remain unc…