Bateman function

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In mathematics, the Bateman function (or k-function) kn is a special case of the confluent hypergeometric function studied by Bateman (1931). Bateman defined it by

\displaystyle k_n(x) = \frac{2}{\pi}\int_0^{\pi/2}\cos(x\tan\theta-n\theta) \, d\theta

This is not to be confused with another function of the same name which is used in Pharmacokinetics.