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单词 Analytic Function
释义

Analytic Function

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

See also Bergman Space, Complex Differentiable, Differentiable, Pseudoanalytic Function,Semianalytic, Subanalytic


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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