AbstractLet ϕ and f be functions in the Laguerre–Pólya class. Write ϕ(z)=e−αz2ϕ1(z) and f(z)=e−βz2f1(z), where ϕ1 and f1 have genus 0 or 1 and α,β⩾0. If αβ<1/4 and ϕ has infinitely many zeros, then ϕ(D)f(z) has only simple real zeros, where D denotes differentiation
AbstractWe present a new method to study the zeros of an entire function f(x)=∑n⩾0Anxn by associatin...
The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, wh...
The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, wh...
1. Real polynomials with real zeros, Laguerre–Pólya class and R-functions. Consider the class of re...
AbstractDifferential operators ϕ(Δθ,ω), where ϕ is an exponential type entire function of a single c...
In this paper, we consider the differential equation faEuro(3) + Af' + Bf = 0, where A(z) and B...
AbstractLet ϕ and f be functions in the Laguerre–Pólya class. Write ϕ(z)=e−αz2ϕ1(z) and f(z)=e−βz2f1...
AbstractTo each ordered set of real stationary values (with multiplicities) is shown to correspond a...
AbstractTo each ordered set of real stationary values (with multiplicities) is shown to correspond a...
Abstract. A sufficient condition for entire functions f and g to be such that the seriesP∞ m=0 f (m)...
In 1943, G. Polya conjectured that the number of non-real zeros the kth derivative of a real entire ...
AbstractA sufficient condition for entire functions f and g to be such that the series ∑m=0∞f(m)(0)g...
We prove that if f is a real entire function of infinite order, then ff ## has infinitely many non-...
Abstract. We characterize all linear operators which preserve spaces of entire functions whose zeros...
The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, wh...
AbstractWe present a new method to study the zeros of an entire function f(x)=∑n⩾0Anxn by associatin...
The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, wh...
The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, wh...
1. Real polynomials with real zeros, Laguerre–Pólya class and R-functions. Consider the class of re...
AbstractDifferential operators ϕ(Δθ,ω), where ϕ is an exponential type entire function of a single c...
In this paper, we consider the differential equation faEuro(3) + Af' + Bf = 0, where A(z) and B...
AbstractLet ϕ and f be functions in the Laguerre–Pólya class. Write ϕ(z)=e−αz2ϕ1(z) and f(z)=e−βz2f1...
AbstractTo each ordered set of real stationary values (with multiplicities) is shown to correspond a...
AbstractTo each ordered set of real stationary values (with multiplicities) is shown to correspond a...
Abstract. A sufficient condition for entire functions f and g to be such that the seriesP∞ m=0 f (m)...
In 1943, G. Polya conjectured that the number of non-real zeros the kth derivative of a real entire ...
AbstractA sufficient condition for entire functions f and g to be such that the series ∑m=0∞f(m)(0)g...
We prove that if f is a real entire function of infinite order, then ff ## has infinitely many non-...
Abstract. We characterize all linear operators which preserve spaces of entire functions whose zeros...
The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, wh...
AbstractWe present a new method to study the zeros of an entire function f(x)=∑n⩾0Anxn by associatin...
The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, wh...
The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, wh...
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