Word.ws English Dictionary

meromorphic

meromorphic adjective: that is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points).

Adjective

meromorphic (not comparable)

  1. That is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points).
    • 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...1993, Joel L. Schiff, Normal Families, Springer, page 71
    • Note that such a transformation is holomorphic at the origin, but is essentially singular at infinity. However, since T(z) commutes with A(z), the transformed system has coefficient matrix A(z)-zq'(z)I and hence is again meromorphic at infinity.2000, Werner Balser, Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, Springer, page 39

Examples of meromorphic in a sentence

  • Normal families of meromorphic functions are most naturally studied using the spherical metric (§1.2), an approach initiated by Ostrowski [1926].1993, Joel L. Schiff, Normal Families, Springer, page 71:
  • A point p#92;inP¹ is singular for #92;textstyle#92;frac#123;d#125;#123;dz#125;-A if the equation cannot be made regular at p with a local meromorphic transformation.2012, Marius van der Put, Michael F. Singer, Galois Theory of Linear Differential Equations, Springer, page 147:

Origin of meromorphic

From mero- + -morphic.

Words formed from meromorphic

Questions about meromorphic

What does meromorphic mean?
Meromorphic means that is the ratio of two holomorphic functions (and so possibly infinite at a discrete set of points).
How do you use meromorphic in a sentence?
Normal families of meromorphic functions are most naturally studied using the spherical metric (§1.2), an approach initiated by Ostrowski [1926].
What part of speech is meromorphic?
Meromorphic is an adjective.

Words near meromorphic in the dictionary

  1. meromictic
  2. meromictic lake
  3. meromictic lakes
  4. meromicticity
  5. meromixis
  6. meromorphic
  7. meromorphically
  8. meromorphy
  9. meromycolate
  10. meromycolates
  11. meromycolic

Source and license

Adapted from Wiktionary: meromorphic (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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