where is a complex number and is a real number. It satisfies the inhomogeneous Bessel equation
For non-integral the following expansion is valid:
If and , the following asymptotic expansion is valid:
The Weber functions were first studied by H. Weber .
|||H.F. Weber, Zurich Vierteljahresschrift , 24 (1879) pp. 33–76|
|||G.N. Watson, "A treatise on the theory of Bessel functions" , 1 , Cambridge Univ. Press (1952)|
Weber function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Weber_function&oldid=13892