"Ahlfors theory" meaning in All languages combined

See Ahlfors theory on Wiktionary

Noun [English]

Forms: Ahlfors' theory [alternative], Ahlfors' theory of covering surfaces [alternative]
Etymology: Named after Finnish mathematician Lars Ahlfors (1907—1996), who published the theory in 1935. Head templates: {{en-noun|-}} Ahlfors theory (uncountable)
  1. (complex analysis, differential geometry) A geometric counterpart to Nevanlinna theory that extends the applicability of the concept of covering surface (of a topological space) by defining a covering number (a generalised "degree of covering") applicable to any bordered Riemann surface equipped with a conformal Riemannian metric. Wikipedia link: Acta Mathematica, Ahlfors theory, Lars Ahlfors Tags: uncountable Categories (topical): Complex analysis, Differential geometry
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          "ref": "1968, Joseph Belsley Miles, The Asymptotic Behavior of the Counting Function for the A-values of a Meromorphic Function, University of Wisconsin-Madison, page 29:",
          "text": "In this chapter we use Ahlfors' theory of covering surfaces to obtain results on the functional n(r,a).",
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        {
          "ref": "1986, Pacific Journal of Mathematics, volumes 122-123, page 441:",
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-03-01 from the enwiktionary dump dated 2025-02-21 using wiktextract (7c21d10 and f2e72e5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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