Weber function

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In mathematics, Weber function can refer to several different families of functions, mostly named after the physicist H. F. Weber.

  • Weber's modular function (named after the mathematician H. M. Weber).
  • Weber function is sometimes used as a name for Bessel functions of the second kind.
  • Weber functions Eν are solutions of an inhomogeneous Bessel equation, and are linear combinations of Anger functions if ν is not an integer, or linear combinations of Struve functions if ν is an integer.
  • Weber–Hermite function is another name for parabolic cylinder functions, which are solutions of Weber's (differential) equation.