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2011 Garden Representation and Interior Variation of Real Rational Functions
Sayaka Tamae
Nihonkai Math. J. 22(1): 39-47 (2011).


In this paper, we show that the fundamental surgeries of the graph representation for real rational functions can be achieved by classical interior variations essentially due to Schiffer. As an application we give a constructive proof of the main theorem of Natanzon, Shapiro and Vainshtein in [2].


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Sayaka Tamae. "Garden Representation and Interior Variation of Real Rational Functions." Nihonkai Math. J. 22 (1) 39 - 47, 2011.


Published: 2011
First available in Project Euclid: 14 June 2012

zbMATH: 1254.30009
MathSciNet: MR2894024

Primary: 26C15 , 30C15 , 32G05

Keywords: interior variation , Real rational functions

Rights: Copyright © 2011 Niigata University, Department of Mathematics

Vol.22 • No. 1 • 2011
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