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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Convergence of the Poincaré series
for some classical Schottky groups


Author: Vladimir Mityushev
Journal: Proc. Amer. Math. Soc. 126 (1998), 2399-2406
MSC (1991): Primary 30E25, 30F40, 39B32
MathSciNet review: 1452814
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Abstract: The Poincaré $\theta _2$ -series for a multiply connected circular region can be either convergent or divergent absolutely. In this paper we prove a uniform convergence result for such a region.


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Additional Information

Vladimir Mityushev
Affiliation: Department of Mathematics, Pedagogical College, ul.Arciszewskiego 22b, 76-200 Slupsk, Poland

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04395-0
PII: S 0002-9939(98)04395-0
Received by editor(s): June 2, 1993
Received by editor(s) in revised form: November 17, 1995, and January 23, 1997
Communicated by: Albert Baernstein II
Article copyright: © Copyright 1998 American Mathematical Society