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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2013 Volume 6, Issue 1, Pages 114–119 (Mi jsfu297)

On new parametric representations of analytic area Nevanlinna type classes in a circular ring $\mathbf K$ on a complex plane $\mathbf C$

Romi F. Shamoyan

Bryansk State University, Bryansk, Russia

Abstract: We define certain new large area Nevanlinna type spaces in circular ring $K$ on a complex plane $\mathbb C$ and provide complete parametric representations for these new scales of analytic function spaces. Our results complement certain previously known assertions.

Keywords: analytic function, Nevanlinna characteristic, area Nevanlinna type spaces, circular ring.

UDC: 517.5

Received: 27.07.2012
Received in revised form: 30.09.2012
Accepted: 17.11.2012

Language: English



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