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Global analytic function
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<p>In the <a href="/facts/Mathematics/pxTouaz4">mathematical</a> field of <a href="/facts/Complex_analysis/hgCoQlH0">complex analysis</a>, a global analytic function is a generalization of the notion of an <a href="/facts/Analytic_function/JhL3z8FP">analytic function</a> which allows for functions to have multiple <a href="/facts/Branch_cut/lJ7Y6Iht">branches</a>. Global analytic functions arise naturally in considering the possible <a href="/facts/Analytic_continuation/aBCuEgvt">analytic continuations</a> of an analytic function, since analytic continuations may have a non-trivial <a href="/facts/Monodromy/ldkpxExM">monodromy</a>. They are one foundation for the theory of <a href="/facts/Riemann_surface/qoj8ogv8">Riemann surfaces</a>. </p>