In mathematics, the Lommel differential equation, named after Eugen von Lommel, is an inhomogeneous form of the Bessel differential equation
Its solutions are given by the Lommel functions and :
where is a Bessel function of the first kind and a Bessel function of the second kind.
The function can also be written as
where is a generalized hypergeometric function.
See also Anger function Lommel polynomial Struve function Weber function
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