有ゆう理り型けい関かん数すう

also: ゆうりがたかんすう

Meanings

1

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.

有ゆう理り型けい関かん数すうは、極きょく以い外がいの点てんで正せい則そくな複ふく素そ関かん数すうです。
A meromorphic function is a complex function that is holomorphic except at its poles.
この定てい理りは、複ふく素そ平へい面めん上じょうの有ゆう理り型けい関かん数すうに適てき用ようされます。
This theorem applies to meromorphic functions on the complex plane.

Kanji

有possess, have, exist
理logic, arrangement, reason
型mould, type, model
関connection, barrier, gateway
数number, strength, fate

Related words

正せい則そく関かん数すう
A holomorphic function is complex differentiable everywhere on an open set, while a meromorphic function is allowed to have isolated poles.
有ゆう理り関かん数すう
A rational function is a ratio of polynomials; every rational function is meromorphic, but not all meromorphic functions are rational.

Written forms

有理型関数
- ゆうりけいかんすう
  Standard kanji spelling for the mathematical term.
- ゆうりがたかんすう
  Alternate reading; less common but recognized in mathematical contexts.
ゆうりがたかんすう

Etymology

Formed from 有理型, the established Japanese mathematical term for “meromorphic,” and 関数 “function.”