411 REFERENCE · Wiktionary
Ahlfors theory
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English
Alternative forms
en Ahlfors' theory
en Ahlfors' theory of covering surfaces
Etymology
Named after Finnish mathematician Lars Ahlfors (1907—1996), who published the theory in 1935.1935, "Zur Theorie der Uberlagerungsflachen", Acta Mathematica, Volume 65, 157–194.
Noun
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en 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.
en 1968 Joseph Belsley Miles The Asymptotic Behavior of the Counting Function for the A-values of a Meromorphic Function w:University of Wisconsin-Madison https://books.google.com.au/books?id=VmvOAAAAMAAJ&q=%22Ahlfors+theory%22&dq=%22Ahlfors+theory%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwiZkrmgwL3sAhVVfX0KHYuYA3cQ6AEwE3oECD4QAg 29 In this chapter we use Ahlfors' theory of covering surfaces to obtain results on the functional .
en 1986 w:Pacific Journal of Mathematics 122-123 https://books.google.com.au/books?id=K6xHAQAAIAAJ&q=%22Ahlfors+theory%22&dq=%22Ahlfors+theory%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwiZkrmgwL3sAhVVfX0KHYuYA3cQ6AEwEnoECDsQAg 441 Terms of the form in Ahlfors theory are given in the form where is a constant.
en 2004 G. Barsegian A new program of investigations in analysis: Gamma-lines approaches G. Barsegian; I. Laine; C. C. Yang Value Distribution Theory and Related Topics Kluwer Academic https://books.google.com.au/books?id=Vz0GCAAAQBAJ&pg=PA43&dq=%22Ahlfors+theory%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwiZkrmgwL3sAhVVfX0KHYuYA3cQ6AEwAXoECAIQAg#v=onepage&q=%22Ahlfors%20theory%22&f=false 43 The Ahlfors theory itself describes covering of curves or domains, but not covering of distinct, complex values .
Translations
theory that extends the concept of covering surface
Bulgarian: bg
References
en eponyms