Abstract
A Riemann surface R is a connected Hausdorff space with a conformal structure (cf. e.g., Ahlfors-Sario [1, p. 114]). We shall use the same symbol z for a generic point and its parametric image. Let S be another Riemann surface, and ζ its parameter. A mapping ζ =f(z) of R intoS is by definition analytic if it is so in terms of the parameters. We are interested in the distribution of values of f. Typically we ask: How many points of S can f omit?
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© 1966 D. Van Nostrand Company, Inc.
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Sario, L., Noshiro, K. (1966). Mappings into Closed Riemann Surfaces. In: Value Distribution Theory. The University Series in Higher Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-8126-0_2
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DOI: https://doi.org/10.1007/978-1-4615-8126-0_2
Publisher Name: Springer, New York, NY
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