also: ゆうりがたかんすう
noun
meromorphic function
A function that is holomorphic on an open subset of the complex plane except for a set of isolated poles. Used in complex analysis.
有理型関数は、極以外の点で正則な複素関数です。
A meromorphic function is a complex function that is holomorphic except at its poles.
この定理は、複素平面上の有理型関数に適用されます。
This theorem applies to meromorphic functions on the complex plane.
Compound of 有理 (yūri, 'rational') + 型 (kei/gata, 'type') + 関数 (kansū, 'function'). The term is a direct translation of the English 'meromorphic function', where 'meromorphic' derives from Greek 'meros' (part) and 'morphe' (form), reflecting the function's behavior of being holomorphic except at isolated poles.