A generalization of the Bessel Function of the First Kind defined by

If is an Integer , then , where is a Bessel Function of the First Kind. Anger's original function had an upper limit of , but the current Notation was standardized by Watson (1966).

**References**

Abramowitz, M. and Stegun, C. A. (Eds.). ``Anger and Weber Functions.'' §12.3 in
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.*
New York: Dover, pp. 498-499, 1972.

Watson, G. N. *A Treatise on the Theory of Bessel Functions, 2nd ed.* Cambridge, England: Cambridge University
Press, 1966.

© 1996-9

1999-05-25