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Generalizations of Noshiro's Theorem and Their Applications

Published online by Cambridge University Press:  20 November 2018

Hidenobu Yoshida
Hidenobu Yoshida*
Affiliation:
Chiba University, Chiba-shi, Japan
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Meier [8, Hauptsatz] proved a remarkable theorem concerning the boundary behavior of functions meromorphic in the upper half plane; but his techniques are very complicated. So Noshiro [10, p. 72-73] proved an analogous (but somewhat weaker) result to Meier's by a simple method using the theorem of Gross and Iversen.

In this paper, we sharpen and generalize Noshiro's theorem in some directions by making use of the notion “porosity”, and we state some applications.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 3 , June 1973 , pp. 611 - 620
Copyright
Copyright © Canadian Mathematical Society 1973

References

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