On the number of connected components in the space of M-polynomials in hyperbolic functions

Boris Shapiro, Alek Vainstein

To appear at Formal Power Series and Algebraic Combinatorics (FPSAC01), Tempe, Arizona (USA), May 20-26, 2001


Abstract

We calculate the number of connected components in the space of the so-called M-polynomials of a given degree in hyperbolic functions. By definition an M-polynomial is characterized by the condition that all its critical values are real and distinct


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