Definition of "meromorphic" []

• Which is a ratio of two holomorphic functions. (adjective)

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• "Moreover, if a meromorphic integrand has simple poles in the complex plane, it is impossible to choose an antiderivative continuous along every imaginable path in the complex plane – because of branch cuts in."
• "If k is an algebraic number field, the Dedekind zeta function of the field is a meromorphic function, defined for complex numbers s with real part satisfying"
• "It thus defines a holomorphic function on this half-plane, and this can be extended by analytic continuation to a meromorphic function on the whole complex plane."