Counting Real Rational Functions with All Real Critical Values

نویسندگان

  • Boris Shapiro
  • Alek Vainshtein
  • ALEK VAINSHTEIN
چکیده

We study the number ♯ n of real rational degree n functions (considered up to a linear fractional transformation of the independent variable) with a given set of 2n − 2 distinct real critical values. We present a combinatorial interpretation of these numbers and pose a number of related questions.

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تاریخ انتشار 2002