meromorphic
/ˌmɛrəˈmɔrfɪk/
adjective
- Relating to a complex function that is analytic (smooth) everywhere in its domain except at isolated points where it has poles (blows up to infinity).
- The mathematician studied meromorphic functions on the complex plane.
- The teacher explained that the tangent function is meromorphic because it has poles at odd multiples of π/2.
- In complex analysis, a meromorphic function can be written as a ratio of two analytic functions.