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Mdavis94538 (talk | contribs) m Add missing "of" in first sentence of Preview |
A function doesn't equal infinity, it approaches it. Reworded statement to reflect this in paragraph 3, sentence 3 |
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[[File:Gamma abs 3D.png|thumb|right|The [[gamma function]] is meromorphic in the whole complex plane.]]
Intuitively, a meromorphic function is a ratio of two well-behaved (holomorphic) functions. Such a function will still be well-behaved, except possibly at the points where the denominator of the fraction is zero. If the denominator has a zero at ''z'' and the numerator does not, then the value of the function will
From an algebraic point of view, if ''D'' is [[connected set|connected]], then the set of meromorphic functions is the [[field of fractions]] of the [[integral ___domain]] of the set of holomorphic functions. This is analogous to the relationship between the [[rational number]]s and the [[integer]]s.
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