Y. Gati

activity

20032026

most citedDescartes' rule of signs, Rolle's theorem and sequences of admissible pairs

5 citations · 7 across the 10 of their papers we have counts for

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2 papers · 1 filter

math.CA2023

Degree $6$ hyperbolic polynomials and orders of moduli

Yousra Gati, Vladimir Petrov Kostov, Mohamed Chaouki Tarchi

We consider real univariate degree $d$ real-rooted polynomials with non-vanishing coefficients. Descartes' rule of signs implies that such a polynomial has $c ~$ positive and…

math.CA2023

Further than Descartes' rule of signs

Yousra Gati, Vladimir Petrov Kostov, Mohamed Chaouki Tarchi

The {\em sign pattern} defined by the real polynomial $Q := Σ_{j = 0}^{d} a_{j} x^{j}$ , $a_{j} \neq = 0$ , is the string $σ (Q) := (sgn (a_{d}), \dots, sgn (a_{0}))$ . The quantities $…

Degree 6 hyperbolic polynomials and orders of moduli

Further than Descartes' rule of signs

Degree $6$ hyperbolic polynomials and orders of moduli