Convergence of the Poincaré series for some classical Schottky groups

Mityushev, Vladimir

doi:10.1090/S0002-9939-98-04395-0

Convergence of the Poincaré series for some classical Schottky groups
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by Vladimir Mityushev

Proc. Amer. Math. Soc. 126 (1998), 2399-2406

DOI: https://doi.org/10.1090/S0002-9939-98-04395-0

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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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