57 citations · 275 across the 73 of their papers we have counts for
Showing 2003 · math.CAShow all
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math.CA2003
Hyperbolic polynomials and spectral order
Julius Borcea, Boris Shapiro
The spectral order on $\bR$ induces a partial ordering on the manifold $\calH_{n}$ of monic hyperbolic polynomials of degree . We show that the semigroup $\tilde{\calS}$ generat…
math.CA2003
A few riddles behind Rolle's theorem
B. Shapiro, M. Shapiro
We call a smooth function of one variable a degree n pseudopolynomial if its n-th derivative has no (real) zeros. An n pseudopolynomial is called hyperbolic if it has exactly n sim…