Anger function: Difference between revisions

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and is closely related to [[Bessel function]]s.
 
The '''Weber function''' (also known as '''Lommel–Weber[[Eugen von Lommel|Lommel]]–Weber function'''), introduced by {{harvs|txt|authorlink=Heinrich Friedrich Weber|first=H. F.|last=Weber|year=1879}}, is a closely related function defined by
 
: <math>\mathbf{E}_\nu(z)=\frac{1}{\pi} \int_0^\pi \sin (\nu\theta-z\sin\theta) \,d\theta</math>