Author | Sario, Leo. author |
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Title | Value Distribution Theory [electronic resource] / by Leo Sario, Kiyoshi Noshiro |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1966 |
Connect to | http://dx.doi.org/10.1007/978-1-4615-8126-0 |
Descript | XI, 236 p. online resource |
1. Historical -- 2. New metric -- 3. The fundamental A-, B-, and C-functions -- 4. Method of areal proximity -- 5. Summary -- I Mappings Into Closed Riemann Surfaces -- ยง1. Mappings of Arbitrary Riemann Surfaces -- ยง2. Meromorphic Functions on Arbitrary Riemann Surfaces -- ยง3. Surfaces RS and Conformal Metrics -- II Mappings Into Open Riemann Surfaces -- ยง1. Principal Functions -- ยง2. Proximity Functions on Arbitrary Riemann Surfaces -- ยง3. Analytic Mappings -- III Functions of Bounded Characteristic -- ยง1. Decomposition -- ยง2. The Class OMB -- IV Functions on Parabolic Riemann Surfaces -- ยง1. The Evans-Selberg Potential -- ยง2. Meromorphic Functions in a Boundary Neighborhood -- V Picard Sets -- ยง1. Infinite Picard Sets -- ยง2. Finite Picard Sets -- VI Riemannian Images -- ยง1. Mean Sheet Numbers -- ยง2. Euler Characteristic -- ยง3. Islands and Peninsulas -- ยง4. Meromorphic Functions -- ยง5. Mappings of Arbitrary Riemann Surfaces -- Appendix I. Basic Properties of Riemann Surfaces -- Appendix II. Gaussian Mapping of Arbitrary Minimal Surfaces -- 1. Triple connectivity -- 2. Arbitrary connectivity -- 3. Arbitrary genus -- 4. Arbitrary genus and connectivity -- 5. Gaussian mapping -- 6. Picard directions -- 7. Islands and peninsulas -- 8. Regular exhaustions -- 9. Open questions -- Author Index