Add to ORKGAbstract. A sufficient condition for entire functions f and g to be such that the seriesP∞ m=0 f (m)(0)g(m)/m! represents an entire function is established; and in that case, the growth of the resulting function is described. 1
summary:We investigate the conditions of equivalence of a differential operator of infinite order wi...
summary:We investigate the conditions of equivalence of a differential operator of infinite order wi...
Abstract. Let Z be a sequence of complex numbers tending to in¯nity having in¯nite exponent of conve...
AbstractA sufficient condition for entire functions f and g to be such that the series ∑m=0∞f(m)(0)g...
AbstractA sufficient condition for entire functions f and g to be such that the series ∑m=0∞f(m)(0)g...
In this paper, we consider the differential equation faEuro(3) + Af' + Bf = 0, where A(z) and B...
Abstract. Let ρ(A) and ρ(B) denote the orders of entire functions A(z) and B(z) respectively. Suppos...
AbstractDifferential operators ϕ(Δθ,ω), where ϕ is an exponential type entire function of a single c...
AbstractLet ϕ and f be functions in the Laguerre–Pólya class. Write ϕ(z)=e−αz2ϕ1(z) and f(z)=e−βz2f1...
Carta escrita al professor Kamthan, on desenvolupa una prova del "lemma 1" i comenta diverses qüesti...
In this paper, we investigate the growth of solutions of the differential equation $$ f^{(k)}+A_{k-1...
Let $\Phi$ be a convex function on $[x_0,+\infty)$ such that$\frac{\Phi(x)}x\to+\infty$, $x\to+\inft...
We study infinite order differential operators acting in the spaces of exponential type ent...
The object of this thesis is to extend to broader classes of functions the theorems in G. Polya's ve...
In this paper, we consider the space of entire functions for a given proximate order and a semi-norm...
summary:We investigate the conditions of equivalence of a differential operator of infinite order wi...
summary:We investigate the conditions of equivalence of a differential operator of infinite order wi...
Abstract. Let Z be a sequence of complex numbers tending to in¯nity having in¯nite exponent of conve...
AbstractA sufficient condition for entire functions f and g to be such that the series ∑m=0∞f(m)(0)g...
AbstractA sufficient condition for entire functions f and g to be such that the series ∑m=0∞f(m)(0)g...
In this paper, we consider the differential equation faEuro(3) + Af' + Bf = 0, where A(z) and B...
Abstract. Let ρ(A) and ρ(B) denote the orders of entire functions A(z) and B(z) respectively. Suppos...
AbstractDifferential operators ϕ(Δθ,ω), where ϕ is an exponential type entire function of a single c...
AbstractLet ϕ and f be functions in the Laguerre–Pólya class. Write ϕ(z)=e−αz2ϕ1(z) and f(z)=e−βz2f1...
Carta escrita al professor Kamthan, on desenvolupa una prova del "lemma 1" i comenta diverses qüesti...
In this paper, we investigate the growth of solutions of the differential equation $$ f^{(k)}+A_{k-1...
Let $\Phi$ be a convex function on $[x_0,+\infty)$ such that$\frac{\Phi(x)}x\to+\infty$, $x\to+\inft...
We study infinite order differential operators acting in the spaces of exponential type ent...
The object of this thesis is to extend to broader classes of functions the theorems in G. Polya's ve...
In this paper, we consider the space of entire functions for a given proximate order and a semi-norm...
summary:We investigate the conditions of equivalence of a differential operator of infinite order wi...
summary:We investigate the conditions of equivalence of a differential operator of infinite order wi...
Abstract. Let Z be a sequence of complex numbers tending to in¯nity having in¯nite exponent of conve...