Bateman function: Difference between revisions

Revision as of 16:41, 27 August 2021

Revision as of 16:42, 27 August 2021

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*<math>|k_n(x)|\leq 1</math> for real values of <math>n</math> and <math>x</math>

*<math>k_{2n}(x)=0</math> for <math>x<0</math> if <math>n</math> is a positive integer

* If <math>n</math> is an odd integer, then <math>k_1(x) = \frac{2x}{\pi} [K_1(x) + K_0(x)], \ x<0</math>, where <math>K_n(-x)</math> is the [[Modified Bessel function of the second kind]].

==References==