Diameter problems for univalent functions with quasiconformal extension.
Deiermann, Paul (1993)
International Journal of Mathematics and Mathematical Sciences
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Deiermann, Paul (1993)
International Journal of Mathematics and Mathematical Sciences
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Robert Tichy, G. Turnwald (1985)
Acta Arithmetica
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Frederick Gehring (1999)
Banach Center Publications
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Kari Hag (1999)
Banach Center Publications
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This paper should be considered as a companion report to F.W. Gehring’s survey lectures “Characterizations of quasidisks” given at this Summer School [7]. Notation, definitions and background results are given in that paper. In particular, D is a simply connected proper subdomain of unless otherwise stated and D* denotes the exterior of D in . Many of the characterizations of quasidisks have been motivated by looking at properties of euclidean disks. It is therefore natural to go...
Germain, Jam (2009)
Integers
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Štefan Porubský (1976)
Acta Arithmetica
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Juha Heinonen (1989)
Revista Matemática Iberoamericana
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In this paper we study quasiconformal homeomorphisms of the unit ball B = B = {x ∈ R: |x| < 1} of R onto John domains. We recall that John domains were introduced by F. John in his study of rigidity of local quasi-isometries [J]; the term John domain was coined by O. Martio and J. Sarvas seventeen years later [MS]. From the various equivalent characterizations we shall adapt the following definition based on diameter carrots, cf. [V4], [V5], [NV].
Gica, Alexandru, Panaitopol, Laurenţiu (2003)
Journal of Integer Sequences [electronic only]
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E. Fogels (1975)
Acta Arithmetica
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T. Pezda (2004)
Open Mathematics
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We find all possible cycle-lengths for polynomial mappings in two variables over rings of integers in quadratic extensions of rationals.