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arXiv:1701.09093 [math.CV]AbstractReferencesReviewsResources

The star function for meromorphic functions of several complex variables

Faruk Abi-Khuzam, Florian Bertrand, Giuseppe Della Sala

Published 2017-01-31Version 1

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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