نتایج جستجو برای: entire functions

تعداد نتایج: 609271  

Journal: :Michigan Mathematical Journal 1955

Journal: :Transactions of the American Mathematical Society 2014

Journal: :Journal of the Australian Mathematical Society 2003

Journal: :Journal of Approximation Theory 1980

Journal: :Proceedings of the American Mathematical Society 1977

Journal: :Bulletin of the London Mathematical Society 2006

Journal: :Journal of Mathematical Analysis and Applications 1972

Journal: :Mathematical Proceedings of the Cambridge Philosophical Society 1999

Journal: :Science China-mathematics 2021

Given any infinite tree in the plane satisfying certain topological conditions, we construct an entire function f with only two critical values ±1 and no asymptotic such that f−1([−1, 1]) is ambiently homeomorphic to given tree. This can be viewed as a generalization of result Grothendieck (see Schneps (1994)) case trees. Moreover, similar idea leads new proof Nevanlinna (1932) Elfving (1934).

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