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polynomialOrganisation
to real polynomials/(x), states that (1) between any two consecutive real zeros of f(x) there is an odd number of zeros of the derivative, Df(x); and consequently, (2) the polynomial Df(x) has no more nonreal zeros than/(x) has. Generalizations of this second property have been explore
Abstract. A splitting polynomial in one variable over a field is Fail-Rolle if its formal derivative...
Abstract. The purpose of this paper is to investigate the real sequences γ0; γ1; γ2; : : : with the ...
Let p(z) be an algebraic polynomial of degree n ¸ 2 with real coefficients and p(i) = p(¡i). Accordi...
First year undergraduates usually learn about classical Rolle'stheorem which says that between two c...
First year undergraduates usually learn about classical Rolle'stheorem which says that between two c...
First year undergraduates usually learn about classical Rolle'stheorem which says that between two c...
Abstract. First year undergraduates usually learn about classical Rolle’s theorem saying that betwee...
There are polynomials of odd degree d, for which Rolle’s property does not hold, i.e., polynomials s...
AbstractWe give new sufficient conditions for a sequence of polynomials to have only real zeros base...
We prove a complex analytic analogue of the classical Rolle theorem asserting that the number of zer...
Let P (z) be a polynomial with complex coefficients of degree d having 2 dis-tinct roots. We prove t...
Tese mest. , Matemática para o Ensino, 2007, Universidade do AlgarveFrom algebra we know that a poly...
Tese mest. , Matemática para o Ensino, 2007, Universidade do AlgarveFrom algebra we know that a poly...
Standard exercise in Calculus uses the intermediate value theorem to prove that every real polynomia...
1. Real polynomials with real zeros, Laguerre–Pólya class and R-functions. Consider the class of re...
Abstract. A splitting polynomial in one variable over a field is Fail-Rolle if its formal derivative...
Abstract. The purpose of this paper is to investigate the real sequences γ0; γ1; γ2; : : : with the ...
Let p(z) be an algebraic polynomial of degree n ¸ 2 with real coefficients and p(i) = p(¡i). Accordi...
First year undergraduates usually learn about classical Rolle'stheorem which says that between two c...
First year undergraduates usually learn about classical Rolle'stheorem which says that between two c...
First year undergraduates usually learn about classical Rolle'stheorem which says that between two c...
Abstract. First year undergraduates usually learn about classical Rolle’s theorem saying that betwee...
There are polynomials of odd degree d, for which Rolle’s property does not hold, i.e., polynomials s...
AbstractWe give new sufficient conditions for a sequence of polynomials to have only real zeros base...
We prove a complex analytic analogue of the classical Rolle theorem asserting that the number of zer...
Let P (z) be a polynomial with complex coefficients of degree d having 2 dis-tinct roots. We prove t...
Tese mest. , Matemática para o Ensino, 2007, Universidade do AlgarveFrom algebra we know that a poly...
Tese mest. , Matemática para o Ensino, 2007, Universidade do AlgarveFrom algebra we know that a poly...
Standard exercise in Calculus uses the intermediate value theorem to prove that every real polynomia...
1. Real polynomials with real zeros, Laguerre–Pólya class and R-functions. Consider the class of re...
Abstract. A splitting polynomial in one variable over a field is Fail-Rolle if its formal derivative...
Abstract. The purpose of this paper is to investigate the real sequences γ0; γ1; γ2; : : : with the ...
Let p(z) be an algebraic polynomial of degree n ¸ 2 with real coefficients and p(i) = p(¡i). Accordi...
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