The star function for meromorphic functions of several complex variables
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Date
Authors
Abi-Khuzam, Faruk F.
Bertrand, Florian
Della Sala, Giuseppe
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor and Francis Ltd.
Abstract
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. © 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group.
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Keywords
Baernstein star function, Meromorphic function in several variables, Subharmonic function