Bateman function: Difference between revisions

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In mathematics, the '''Bateman function''' (or ''k''-function) ''k''_''n'', named after [[Harry Bateman]], is a special case of the [[confluent hypergeometric function]] studied by {{harvtxt|Bateman|1931}}. Bateman defined it by

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

==References==