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Multiple Interpolation and Principal Parts of a Laurent Series for Meromorphic Functions in the Unit Disk with Power Growth of the Nevanlinna Characteristic

Authors :
V. A. Bednazh
E. G. Rodikova
F. A. Shamoyan
Source :
Complex Analysis and Operator Theory. 11:197-215
Publication Year :
2016
Publisher :
Springer Science and Business Media LLC, 2016.

Abstract

In this paper we solve the multiple interpolation problem in the class of analytic functions in the unit disk with power growth of the Nevanlinna characteristic under the condition that interpolation nodes are contained in a finite union of Stolz angles and describe the principal parts of a Laurent series of meromorphic functions with the same restrictions on the Nevanlinna characteristic.

Details

ISSN :
16618262 and 16618254
Volume :
11
Database :
OpenAIRE
Journal :
Complex Analysis and Operator Theory
Accession number :
edsair.doi...........156386706a139685e17088ebe47b896f