Derivatives of the Hyperbolic Density Near an Isolated Boundary Point
Brian T. Gill and Thomas H. MacGregor
Source: Rocky Mountain J. Math. Volume 36, Number 6
(2006), 1873-1884.
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Primary Subjects:
30F45
Keywords: Hyperbolic domain; hyperbolic density; isolated boundary point; partial derivatives; asymptotic limits
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1181069350
Digital Object Identifier: doi:10.1216/rmjm/1181069350
Mathematical Reviews number (MathSciNet): MR2305635
Zentralblatt MATH identifier: 1134.30031
References
E.T. Copson, An introduction to the theory of functions of a complex variable, Oxford University Press, Oxford, 1955.
A. Marden, I. Richards and B. Rodin, Analytic self-mappings of Riemann surfaces, J. Analyse Math. 18 (1967), 197-225.
Mathematical Reviews (MathSciNet): MR212182
Digital Object Identifier: doi:10.1007/BF02798045
D. Minda, The density of the hyperbolic metric near an isolated boundary point, Complex Variables Theory Appl. 32 (1997), 331-340.
Mathematical Reviews (MathSciNet): MR1459594
A. Yamada, Bounded analytic functions and metrics of constant curvature on Riemann surfaces, Kodai Math. J. 11 (1988), 317-324.
Mathematical Reviews (MathSciNet): MR963390
Zentralblatt MATH: 0671.30030
Digital Object Identifier: doi:10.2996/kmj/1138038930
Project Euclid: euclid.kmj/1138038930
S. Yamashita, Sur allures de la densité de Poincaré et ses dérivées au voisinage d'un point frontière, Kodai Math. J. 16 (1993), 235-243.
Mathematical Reviews (MathSciNet): MR1225532
Digital Object Identifier: doi:10.2996/kmj/1138039787
Project Euclid: euclid.kmj/1138039787
Rocky Mountain Journal of Mathematics
