Meromorphic
adj ·Rare ·Advanced level
Definitions
- 1 That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points). not-comparable
"Normal families of meromorphic functions are most naturally studied using the spherical metric (§1.2), an approach initiated by Ostrowski [1926]. Some results for meromorphic functions, such as the FNT, are immediate extensions from the analytic case, whereas others, such as Landau's or Julia's theorem are set in a much broader context than their analytic counterparts. Normality criteria pertinent to families of meromorphic functions, such as Marty's theorem, have not yet been encountered."
Example
More examples"Normal families of meromorphic functions are most naturally studied using the spherical metric (§1.2), an approach initiated by Ostrowski [1926]. Some results for meromorphic functions, such as the FNT, are immediate extensions from the analytic case, whereas others, such as Landau's or Julia's theorem are set in a much broader context than their analytic counterparts. Normality criteria pertinent to families of meromorphic functions, such as Marty's theorem, have not yet been encountered."
Etymology
From mero- + -morphic.
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.