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Complex Variables and Elliptic Equations
An International Journal
Volume 64, 2019 - Issue 1
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Original Articles

The star function for meromorphic functions of several complex variables

Faruk Abi-KhuzamDepartment of Mathematics, American University of Beirut, Beirut, Lebanon.
,
Florian BertrandDepartment of Mathematics, American University of Beirut, Beirut, Lebanon.Correspondence[email protected]
&
Giuseppe Della SalaDepartment of Mathematics, American University of Beirut, Beirut, Lebanon.
Pages 26-39 | Received 02 Feb 2017, Accepted 23 Nov 2017, Published online: 10 Dec 2017
 
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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.

AMS SUBJECT CLASSIFICATIONS:

Notes

No potential conflict of interest was reported by the authors.

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