Bateman function

From Infogalactic: the planetary knowledge core
(Redirected from Bateman's function)
Jump to: navigation, search

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.

References

  • Lua error in package.lua at line 80: module 'strict' not found.
  • Lua error in package.lua at line 80: module 'strict' not found.
Retrieved from "https://infogalactic.com/w/index.php?title=Bateman_function&oldid=5191980"