A Function in the Complex Numbers is analytic on a region if it is Complex Differentiable at every point in . The terms Holomorphic Function and Regular Function are sometimes used interchangeably with ``analytic function.'' If a Function is analytic, it is infinitely Differentiable.

**References**

Morse, P. M. and Feshbach, H. ``Analytic Functions.'' §4.2 in
*Methods of Theoretical Physics, Part I.* New York: McGraw-Hill, pp. 356-374, 1953.

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1999-05-25