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    Holomorphic Function

    Alternate name
    Definition

    A synonym for analytic function, regular function, differentiable function, complex differentiable function, and holomorphic map. The word derives from the Greek ο λ ο ς (holos), meaning "whole, " and μ ο ρφη (morphe), meaning "form" or "appearance." Many mathematicians prefer the term "holomorphic function" (or "holomorphic map") to "analytic function", while "analytic" appears to be in widespread use among physicists, engineers, and in some older texts (Morse and Feshbach 1953, pp. 356-374; Knopp 1996, pp. 83-111, p. 83).

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