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Questions on the special mathematical functions implemented in Mathematica.

3 votes
1 answer
120 views

Why does Integrate get this wrong?

Why does Integrate get this wrong? b = 2; NIntegrate[E^(-x^2) HypergeometricU[-b/2, 1/2, x^2], {x, -Infinity, Infinity}, AccuracyGoal -> 4] (* -7.67473*10^-9 *) Clear[b]; Integrate[E^(-x …
Charles Hagwood's user avatar
0 votes
2 answers
188 views

Code to calculate the partial theta function

The version of the partial theta function I want to compute is $O(z) = \sum\limits^\infty_{n=0}\exp(-(z+n\pi)^2)$ Does anyone have or know of code to efficiently compute $O(z)$? There are two papers …
Charles Hagwood's user avatar