Geodesic
On the analytic complexity of discriminants
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 86-101.

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The paper deals with the notion of analytic complexity introduced by V. K. Beloshapka. We give an algorithm which allows one to check whether a bivariate analytic function belongs to the second class of analytic complexity. We also provide estimates for the analytic complexity of classical discriminants and introduce the notion of analytic complexity of a knot. 
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V. A. Krasikov; T. M. Sadykov. On the analytic complexity of discriminants. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 86-101. http://geodesic.mathdoc.fr/item/TM_2012_279_a7/

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