Abstract. We consider complex polynomials of degree n that are bounded by one in the unit disc and give estimates on the size of the radius Rn of the disc where the sum of the moduli of the individual terms of the polynomial is less than one. We find that there are positive constants C1, C2 such tha
AbstractLet ƒ(x) be a polynomial of degree n with complex coefficients, which factors as ƒ(x) = g(x)...
This paper deals with the problem of finding some upper bound estimates for the maximum modulus of t...
Abstract. The radius of starlikeness for polynomial mappings and fi-nite Blaschke products with zero...
We obtain a characterization and precise asymptotics of the Bohr radius for the class of complex pol...
AbstractWe obtain a characterization and conjecture asymptotics of the Bohr radius for the class of ...
Denote by Ω(n) the number of prime divisors of n ∈ ℕ (counted with multiplicities). For x ∈ ℕ define...
© 2018 Elsevier Inc. We determine the Bohr radius for the class of all functions f of the form f(z)=...
Abstract. Let 1 ≤ p, q < ∞ and let X be a complex Banach space. For each f(z) = P∞ n=0 xnz n with...
Bohr theorem [14] states that holomorphic functions bounded by 1 in the unit disk have power series ...
© 2019 Annales Academiæ Scientiarum Fennicæ Mathematica. The object of this paper is to study the p...
AbstractWe prove an explicit bound on the radius of a ball centered at the origin which is guarantee...
We study inequalities connecting the product of uniform norms of polynomials with the norm of their ...
AbstractWe investigate the roots of polynomials with concentration at low degrees, and prove that th...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
AbstractBohrʼs inequality for the class of analytic functions mapping the unit disk into the exterio...
AbstractLet ƒ(x) be a polynomial of degree n with complex coefficients, which factors as ƒ(x) = g(x)...
This paper deals with the problem of finding some upper bound estimates for the maximum modulus of t...
Abstract. The radius of starlikeness for polynomial mappings and fi-nite Blaschke products with zero...
We obtain a characterization and precise asymptotics of the Bohr radius for the class of complex pol...
AbstractWe obtain a characterization and conjecture asymptotics of the Bohr radius for the class of ...
Denote by Ω(n) the number of prime divisors of n ∈ ℕ (counted with multiplicities). For x ∈ ℕ define...
© 2018 Elsevier Inc. We determine the Bohr radius for the class of all functions f of the form f(z)=...
Abstract. Let 1 ≤ p, q < ∞ and let X be a complex Banach space. For each f(z) = P∞ n=0 xnz n with...
Bohr theorem [14] states that holomorphic functions bounded by 1 in the unit disk have power series ...
© 2019 Annales Academiæ Scientiarum Fennicæ Mathematica. The object of this paper is to study the p...
AbstractWe prove an explicit bound on the radius of a ball centered at the origin which is guarantee...
We study inequalities connecting the product of uniform norms of polynomials with the norm of their ...
AbstractWe investigate the roots of polynomials with concentration at low degrees, and prove that th...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
AbstractBohrʼs inequality for the class of analytic functions mapping the unit disk into the exterio...
AbstractLet ƒ(x) be a polynomial of degree n with complex coefficients, which factors as ƒ(x) = g(x)...
This paper deals with the problem of finding some upper bound estimates for the maximum modulus of t...
Abstract. The radius of starlikeness for polynomial mappings and fi-nite Blaschke products with zero...