where is a Bessel Function of the First Kind and is a Bessel Function of the Second Kind. Hankel functions of the first kind can be represented as a Contour Integral using

**References**

Arfken, G. ``Hankel Functions.'' §11.4 in *Mathematical Methods for Physicists, 3rd ed.*
Orlando, FL: Academic Press, pp. 604-610, 1985.

Morse, P. M. and Feshbach, H. *Methods of Theoretical Physics, Part I.* New York: McGraw-Hill, pp. 623-624, 1953.

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1999-05-25