Geodesic
Maximal $K_n$ Domain of a Family of Rational Functions
Matematičeskie zametki, Tome 76 (2004) no. 2, pp. 196-204.

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In this paper, we find the disk of maximum radius centered at the origin in which any rational function from a certain family belongs to a class of functions with a nonzero $n$th divided difference. 
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E. É. Kir'yatskii; E. G. Kir'yatskii. Maximal $K_n$ Domain of a Family of Rational Functions. Matematičeskie zametki, Tome 76 (2004) no. 2, pp. 196-204. http://geodesic.mathdoc.fr/item/MZM_2004_76_2_a3/

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