Geodesic
$k$-snakes as a~generalization of polynomials deviating least from zero under constraints
Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 197-214.

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This paper establishes existence theorems for $k$-snakes, studies their motion under the variation of a parameter, and presents a differential equation satisfied by the snakes. The results contain, as special cases, corresponding properties of constrained polynomials that deviate least from zero. Bibliography: 15 titles. 
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V. V. Kovtunets. $k$-snakes as a~generalization of polynomials deviating least from zero under constraints. Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 197-214. http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a11/

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