We prove in this note that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions such that limz→∞ exp(|z|α)f(j)(z) = 0 on any plane strip for every f ∈ M and for every derivation index j. Moreover, the growth index of each nonnull function of M is infinite with respect to any prefixed sequence of nonconstant entire functions.Dirección General de Investigación Científica y Técnica (DGICYT). Españ
AbstractWe show that exponential growth is the critical discrete rate of growth for zero-free entire...
AbstractIt is shown that iff(z) is a nonconstant real entire function of genus 0 and if all the zero...
In this paper we study entire functions whose maximum on a disc of radius $r$ grows like $e^{h(\log ...
We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire function...
AbstractWe prove in this paper that, given α∈(0,12), there exists a linear manifoldMof entire functi...
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed rad...
AbstractLet A be an unbounded Arakelian set in the complex plane whose complement has infinite inscr...
AbstractIn this paper, we prove that given μ>0 there exists a dense linear manifold M of entire func...
We show that exponential growth is the critical discrete rate of growth for zero-free entire functio...
AbstractA sufficient condition for entire functions f and g to be such that the series ∑m=0∞f(m)(0)g...
In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D...
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dim...
We show that entire transcendental functions f satisfying log M(r,f) = o(log 2r), r → ∞ (M(r,f): = m...
Abstract. Let ρ(A) and ρ(B) denote the orders of entire functions A(z) and B(z) respectively. Suppos...
We study the rate of growth of entire functions that are distributionally irregular for the differe...
AbstractWe show that exponential growth is the critical discrete rate of growth for zero-free entire...
AbstractIt is shown that iff(z) is a nonconstant real entire function of genus 0 and if all the zero...
In this paper we study entire functions whose maximum on a disc of radius $r$ grows like $e^{h(\log ...
We prove in this paper that, given α ∈ (0, 1/2), there exists a linear manifold M of entire function...
AbstractWe prove in this paper that, given α∈(0,12), there exists a linear manifoldMof entire functi...
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed rad...
AbstractLet A be an unbounded Arakelian set in the complex plane whose complement has infinite inscr...
AbstractIn this paper, we prove that given μ>0 there exists a dense linear manifold M of entire func...
We show that exponential growth is the critical discrete rate of growth for zero-free entire functio...
AbstractA sufficient condition for entire functions f and g to be such that the series ∑m=0∞f(m)(0)g...
In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D...
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dim...
We show that entire transcendental functions f satisfying log M(r,f) = o(log 2r), r → ∞ (M(r,f): = m...
Abstract. Let ρ(A) and ρ(B) denote the orders of entire functions A(z) and B(z) respectively. Suppos...
We study the rate of growth of entire functions that are distributionally irregular for the differe...
AbstractWe show that exponential growth is the critical discrete rate of growth for zero-free entire...
AbstractIt is shown that iff(z) is a nonconstant real entire function of genus 0 and if all the zero...
In this paper we study entire functions whose maximum on a disc of radius $r$ grows like $e^{h(\log ...