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Several complex variables

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  1. The theory of functions of several complex variables is the branch of mathematics dealing with functions on the space Cn of n-tuples of complex numbers

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 14, 2008
  2. As in complex analysis, which is the case n = 1 but of a distinct character, these are not just any functions: they are supposed to be analytic, so that locally speaking they are power series in the variables zi

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 14, 2008
  3. Equivalently, as it turns out, they are locally uniform limits of polynomials

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 14, 2008
  4. Many examples of such functions were familiar in nineteenth century mathematics: abelian functions, theta functions, and some hypergeometric series

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 14, 2008
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