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polynomialOrganisation
Let f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f′ are real. We show that there is a zero ζ of f′ such that {pipe} f(ζ)/ζ{pipe} ≤ 2/3, and that this inequality can be taken to be strict unless f is of the form f(z)=z+cz3. © 2009 Springer Science+Business Media, LLC
AbstractEach critical value at infinity of a polynomial f∈C[x,y] is related to at least one branch (...
1. Real polynomials with real zeros, Laguerre–Pólya class and R-functions. Consider the class of re...
Let \(\mathbb{D}\) denote the unit disk \(\{z:|z|<1\}\) in the complex plane \(\mathbb{C}\). In t...
Let f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f′...
Let f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f′...
Let f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f′...
Abstract. Let p(z) = (z − z1)(z − z2) (z − zn) be a polynomial whose zeros zk all lie in the ...
Abstract. Let f be a polynomial of degree n ≥ 2 with f(0) = 0 and f ′(0) = 1. We prove that there ...
Let f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical p...
Abstract. Given a polynomial p of degree n ≥ 2 and with at least two distinct roots let Z(p) = {z: ...
Let f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical p...
Let f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical p...
This paper is devoted to the problem of where the critical points of a polynomial are relative to th...
Let f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical p...
The well-known Sendov Conjecture asserts that if all the zeros of a polynomial p lie in the closed u...
AbstractEach critical value at infinity of a polynomial f∈C[x,y] is related to at least one branch (...
1. Real polynomials with real zeros, Laguerre–Pólya class and R-functions. Consider the class of re...
Let \(\mathbb{D}\) denote the unit disk \(\{z:|z|<1\}\) in the complex plane \(\mathbb{C}\). In t...
Let f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f′...
Let f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f′...
Let f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f′...
Abstract. Let p(z) = (z − z1)(z − z2) (z − zn) be a polynomial whose zeros zk all lie in the ...
Abstract. Let f be a polynomial of degree n ≥ 2 with f(0) = 0 and f ′(0) = 1. We prove that there ...
Let f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical p...
Abstract. Given a polynomial p of degree n ≥ 2 and with at least two distinct roots let Z(p) = {z: ...
Let f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical p...
Let f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical p...
This paper is devoted to the problem of where the critical points of a polynomial are relative to th...
Let f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical p...
The well-known Sendov Conjecture asserts that if all the zeros of a polynomial p lie in the closed u...
AbstractEach critical value at infinity of a polynomial f∈C[x,y] is related to at least one branch (...
1. Real polynomials with real zeros, Laguerre–Pólya class and R-functions. Consider the class of re...
Let \(\mathbb{D}\) denote the unit disk \(\{z:|z|<1\}\) in the complex plane \(\mathbb{C}\). In t...
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