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Functions meromorphic on some Riemann surfaces

Published online by Cambridge University Press:  22 January 2016

Shigeo Segawa
Shigeo Segawa*
Affiliation:
Department of Mathematics Daido Inst, of Technology Daido, Minami, Nagoya 457, Japan
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Consider an open Riemann surface R and a single-valued meromorphic function w = f(p) defined on R. A value w0 in the extended complex plane is said to be a cluster value for w = f(p) if there exists a sequence {pn } in R accumulating at the ideal boundary of R such that

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 70 , July 1978, pp. 41 - 45
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

[1] Segawa, S.: On global cluster sets for functions meromorphic on some Riemann surfaces, Nagoya Math. J., 70 (1978), 1–6.Google Scholar
[2] Stoïlow, S.: Lecon sur les principes topologiques de la théorie des fonctions analytiques, Gauthier-Villars (1956).Google Scholar
[3] Stoïlow, S.: Sur la théorie topologique des recouvrements Riemanniens, Ann. Acad. Sci. Fenn. A.I. 250/35 (1958).Google Scholar