Back دالة جزئية التشكل Arabic Мероморфна функция Bulgarian Funció meromorfa Catalan Meromorfní funkce Czech Meromorphe Funktion German Μερομορφική συνάρτηση Greek Meromorfa funkcio Esperanto Función meromorfa Spanish تابع مرومورف Persian Meromorfinen funktio Finnish
In the mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all of D except for a set of isolated points, which are poles of the function.[1] The term comes from the Greek meros (μέρος), meaning "part".[a]
Every meromorphic function on D can be expressed as the ratio between two holomorphic functions (with the denominator not constant 0) defined on D: any pole must coincide with a zero of the denominator.
- ^ Hazewinkel, Michiel, ed. (2001) [1994]. "Meromorphic function". Encyclopedia of Mathematics. Springer Science+Business Media B.V.; Kluwer Academic Publishers. ISBN 978-1-55608-010-4.
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