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Computational Methods and Function Theory 11 (2011), No. 1, 237--245
Copyright Heldermann Verlag 2011

Condenser Capacity and Meromorphic Functions

Stamatis Pouliasis
spoulias@math.auth.gr , Aristotle University of Thessaloniki, Department of Mathematics, 54124 Thessaloniki, Greece.

[Abstract-pdf] [Abstract-ps]

It is well known that meromorphic functions decrease the capacity of a condenser. We prove an equality statement for the condenser capacity inequality under meromorphic functions.

Keywords: Condenser, capacity, Green function, meromorphic function.

MSC 2000: 30C85, 31A15.

[FullText-pdf (224 K)] [FullText-ps (384 K)]