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arxiv: 1701.09093 · v1 · pith:SXGWBQ52new · submitted 2017-01-31 · 🧮 math.CV

The star function for meromorphic functions of several complex variables

classification 🧮 math.CV
keywords functionmeromorphicstarcomplexfunctionsseveralvariablesadmitting
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We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f.We then characterize meromorphic functions admitting a harmonic star function.

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