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holomorphic function  

Definition

  • In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space Cⁿ. The existence of a complex derivative in a neighbourhood is a very strong condition: it implies that a holomorphic function is infinitely differentiable and locally equal to its own Taylor series (analytic). Holomorphic functions are the central objects of study in complex analysis.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Holomorphic_function)

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http://data.loterre.fr/ark:/67375/PSR-ST0RJ5D8-4

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