which satisfies the inhomogeneous Bessel equation:
For integers is the Bessel function of order (cf. Bessel functions). For non-integer the following expansion is valid:
The asymptotic expansion
is valid for and .
The functions have been named after C.T. Anger , who studied functions of the type (*), but with as the upper limit of the integral.
|||C.T. Anger, Neueste Schr. d. Naturf. d. Ges. i. Danzig , 5 (1855) pp. 1–29|
|||G.N. Watson, "A treatise on the theory of Bessel functions" , 1–2 , Cambridge Univ. Press (1952)|
Anger function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Anger_function&oldid=16115