Editing Meromorphic function (section)

==Heuristic description==
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 approach infinity; if both parts have a zero at ''z'', then one must compare the [[Multiplicity (mathematics)#Multiplicity of a root of a polynomial|multiplicity]] of these zeros.

From an algebraic point of view, if the function's domain 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.