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The Existence of Non-Euclidean Cercles de Remplissage in Certain Subsets of the Unit Disc

Published online by Cambridge University Press:  22 January 2016

L. H. Lange
L. H. Lange*
Affiliation:
San Jose State College
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The concept of a “set of ρ-discs” for complex-valued functions defined in the open unit disc U was introduced in [4; 5, p. 265] and various results concerning the existence of such sets associated with spirals and Stolz angles were derived. These sets are non-Euclidean analogues to the classical cercles de remplissage of Milloux [7; 8]. In the present paper additional theorems about Stolz angle phenomena and the existence of ρ-discs in more general subsets of U are established and new proofs are indicated for some results of Seidel [9, Theorem 2 and Corollary 1].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 19 , October 1961 , pp. 41 - 47
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1961

References

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