DOIAbstract
AbstractLet P(z) = ∑n−1j=0ajzj+zn (n ≥ 2) be a polynomial with complex coefficients, where not all of the numbers a0, ..., an−2 are equal to 0. We prove that if P(z) = 0, then [formula] with α = 1/max2 ≤ j ≤ n |an−j|1/j
AbstractLet P(z) = ∑n−1j=0ajzj+zn (n ≥ 2) be a polynomial with complex coefficients, where not all of the numbers a0, ..., an−2 are equal to 0. We prove that if P(z) = 0, then [formula] with α = 1/max2 ≤ j ≤ n |an−j|1/j
AbstractIt is given an upper bound for the number of simple and distinct zeros of the polynomial f+g...
Let P(z) be a polynomial of degree n with real or complex coefficients. In this paper we obtain a ri...
If pz=∑υ=0ncυzυ is a polynomial of degree n, having no zeros in z<1, then Aziz (1989) proved maxz=1p...
AbstractLetp(z)=1+∑nj=1bjzjbe a complex polynomial. Two theorems on the coefficients and zeros ofp(z...
AbstractLet p(z) = ∑nv = 0avzv be a polynomial of degree at most n vanishing at z = ζ(ζn + 1 ≠ 1). I...
AbstractLet p(z) = ∑nv = 0avzv be a polynomial of degree at most n vanishing at z = ζ(ζn + 1 ≠ 1). I...
n∑ v=µ an−vzn−v, 1 ≤ µ ≤ n, has all its zeros on |z | = k, k ≤ 1, then it was recently proved by De...
AbstractLet p(z) = ∑v = 0navzv be a polynomial of degree n having no zeros in ¦z¦ < k, k ⩾ 1. Then w...
AbstractIn this paper a ring shaped region containing all the zeros of the polynomial p(z) = anzn + ...
Abstract. Using techinques of complex dynamics we prove the conjecture of Sheil-Small and Wilmshurst...
Abstract. A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑n j=0 ajz j is a p...
AbstractThe classical Eneström–Kakeya Theorem states that if p(z)=∑v=0navzv is a polynomial satisfyi...
In this paper we consider the location of the zeros of a complex polynomial f(z) expressed as f(z) ...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
If p(z)=∑nv=0 avzv is a polynomial of degree n, having all its zeros in |z | ≤ 1, then it was prove...
AbstractIt is given an upper bound for the number of simple and distinct zeros of the polynomial f+g...
Let P(z) be a polynomial of degree n with real or complex coefficients. In this paper we obtain a ri...
If pz=∑υ=0ncυzυ is a polynomial of degree n, having no zeros in z<1, then Aziz (1989) proved maxz=1p...
AbstractLetp(z)=1+∑nj=1bjzjbe a complex polynomial. Two theorems on the coefficients and zeros ofp(z...
AbstractLet p(z) = ∑nv = 0avzv be a polynomial of degree at most n vanishing at z = ζ(ζn + 1 ≠ 1). I...
AbstractLet p(z) = ∑nv = 0avzv be a polynomial of degree at most n vanishing at z = ζ(ζn + 1 ≠ 1). I...
n∑ v=µ an−vzn−v, 1 ≤ µ ≤ n, has all its zeros on |z | = k, k ≤ 1, then it was recently proved by De...
AbstractLet p(z) = ∑v = 0navzv be a polynomial of degree n having no zeros in ¦z¦ < k, k ⩾ 1. Then w...
AbstractIn this paper a ring shaped region containing all the zeros of the polynomial p(z) = anzn + ...
Abstract. Using techinques of complex dynamics we prove the conjecture of Sheil-Small and Wilmshurst...
Abstract. A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑n j=0 ajz j is a p...
AbstractThe classical Eneström–Kakeya Theorem states that if p(z)=∑v=0navzv is a polynomial satisfyi...
In this paper we consider the location of the zeros of a complex polynomial f(z) expressed as f(z) ...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
If p(z)=∑nv=0 avzv is a polynomial of degree n, having all its zeros in |z | ≤ 1, then it was prove...
AbstractIt is given an upper bound for the number of simple and distinct zeros of the polynomial f+g...
Let P(z) be a polynomial of degree n with real or complex coefficients. In this paper we obtain a ri...
If pz=∑υ=0ncυzυ is a polynomial of degree n, having no zeros in z<1, then Aziz (1989) proved maxz=1p...
Add to ORKG