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Error term improvements for van der Corput transforms
Asymptotic analysis exponential sum trigonometric sum
2012/5/9
We improve the error term in the van der Corput transform for exponential sums
\sum_{a \le n \le b} g(n) exp(2\pi i f(n)).
For many functions g and f, we can extract the next term in the asymptoti...
Some asymptotics for the Bessel functions with an explicit error term
Bessel function Airy function asymptotic error term zeros
2011/9/1
Abstract: We show how one can obtain an asymptotic expression for some special functions satisfying a second order differential equation with a very explicit error term starting from appropriate upper...