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On Analytic Functions on Some Riemann Surfaces

Published online by Cambridge University Press:  22 January 2016

Tadashi Kuroda
Tadashi Kuroda*
Affiliation:
Mathematical Institute Nagoya University
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In the theory of functions meromorphic in |z| < + ∞, Iversen [4] proved the following: If w = f(z) is meromorphic in |z| < + ∞ and has an essential singularity at z = ∞, then any inverse function-element of this function with the centre w0 can be continued analytically to any point w ≠ wo, except possibly this point w, in any disc having the centre at the point w and containing the point w0.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 10 , June 1956 , pp. 27 - 50
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1956

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