Abstract
Let D be an arbitrary domain1 with boundary Γ. Let E be a totally disconnected closed set contained in Γ. We suppose that w = f(z) is non-constant, single-valued and meromorphic in D. We associate with every point z 0 of Γ the following: sets of values.
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References
Nevanlinna [6], p. 291.
Concerning notions of analytic continuation of algebraic character and (ordinary or essential) transcendental singularity, cf. Collingwood and Cartwright [1], pp. 99–103; Noshiro [4], pp. 43–73.
Iversen’s property of analytic functions has been systematically investigated by Stoïlow [1, 9].
Nevanlinna [6], p. 292.
This means that a is taken by w = f(z) only finite times in |z| < ∞.
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© 1960 Springer-Verlag OHG. Berlin · Göttingen · Heidelberg
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Noshiro, K. (1960). Definitions and preliminary discussions. In: Cluster Sets. Ergebnisse der Mathematik und Ihrer Grenzgebiete, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85928-1_1
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DOI: https://doi.org/10.1007/978-3-642-85928-1_1
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