41 citations · 121 across the 22 of their papers we have counts for
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math.CA2010★ 6 cited
Hurwitz rational functions
Yury S. Barkovsky, Mikhail Tyaglov
A generalization of Hurwitz stable polynomials to real rational functions is considered. We establishe an analogue of the Hurwitz stability criterion for rational functions and int…
math.CA2010★ 6 cited
Generalized Hurwitz polynomials
Mikhail Tyaglov
We describe a wide class of polynomials, which is a natural generalization of Hurwitz stable polynomials. We also give a detailed account of so-called self-interlacing polynomials,…
math.CA2010★ 3 cited
Maximal univalent disks of real rational functions and Hermite-Biehler polynomials
V. Kostov, B. Shapiro, M. Tyaglov
The well-known Hermite-Biehler theorem claims that a univariate monic polynomial s of degree k has all roots in the open upper half-plane if and only if s=p+iq where p and q are re…