Geodesic
On Strongly Normal Functions
Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 408-419

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DOI

Loosely speaking, a function (meromorphic or harmonic) from the hyperbolic disk of the complex plane to the Riemann sphere is normal if its dilatation is bounded. We call a function strongly normal if its dilatation vanishes at the boundary. A sequential property of this class of functions is proved. Certain integral conditions, known to be sufficient for normality, are shown to be in fact sufficient for strong normality.
DOI : 10.4153/CMB-1996-049-4
Mots-clés : 30D45, Normal functions, automorphic functions 
Chen, Huaihui; Gauthier, Paul M. On Strongly Normal Functions. Canadian mathematical bulletin, Tome 39 (1996) no. 4, pp. 408-419. doi: 10.4153/CMB-1996-049-4
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