AbstractWe present new sharp inequalities for the Maclaurin coefficients of an entire function from the Laguerre–Pólya class. They are obtained by a new technique involving the so-called very hyperbolic polynomials. The results may be considered as extensions of the classical Turán inequalities
In this paper we consider the strong asymptotic behavior of Laguerre polynomials in the complex plan...
In this paper we consider the strong asymptotic behavior of Laguerre polynomials in the complex plan...
With the aid of the monotone L’Hôpital rule, the authors verify monotonicity of some functions invol...
2000 Mathematics Subject Classification: 42B20, 42B25, 42B35Let K = [0, ∞)×R be the Laguerre hypergr...
AbstractIn this paper, we prove an analogue of Beurling's theorem for the Laguerre hypergroup, then ...
AbstractIt is shown that the polynomials {Lnα,M0,M1,…,MN(x)}n = 0∞ defined by Lnα,M0M1,…,MN(x)=∑k=0N...
We investigate the famous Laguerre–Pólya class of entire functions and its subclass, the Laguerre–Pó...
AbstractLet Mn(λ) = (n + λ)1 − λ max0⩽θ⩽π(sin θ)λ¦Pn(λ)(cos θ)¦, where Pn(λ)(x) is the ultraspherica...
Hypercontractive inequalities via SOS, and the Frankl-Rödl graph, Discrete Analysis 2016:4, 20 pp. ...
AbstractC. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appro...
We prove Turan-type inequalities for some special functions by using a generalization of the Schwarz...
AbstractThe main object of this paper is to investigate several general families of hypergeometric p...
AbstractWe present several inequalities forfa(x)=Γ(a,x)Γ(a,0)(a>0,x⩾0), where Γ(a,x) is the incomple...
AbstractWe show that the function ((x−dm)(x−dM))1/4xα/2e−x/2Lk(α)(x) is almost equioscillating with ...
AbstractIn this paper, we present asymptotic analysis on the coefficients of functions expanded in f...
In this paper we consider the strong asymptotic behavior of Laguerre polynomials in the complex plan...
In this paper we consider the strong asymptotic behavior of Laguerre polynomials in the complex plan...
With the aid of the monotone L’Hôpital rule, the authors verify monotonicity of some functions invol...
2000 Mathematics Subject Classification: 42B20, 42B25, 42B35Let K = [0, ∞)×R be the Laguerre hypergr...
AbstractIn this paper, we prove an analogue of Beurling's theorem for the Laguerre hypergroup, then ...
AbstractIt is shown that the polynomials {Lnα,M0,M1,…,MN(x)}n = 0∞ defined by Lnα,M0M1,…,MN(x)=∑k=0N...
We investigate the famous Laguerre–Pólya class of entire functions and its subclass, the Laguerre–Pó...
AbstractLet Mn(λ) = (n + λ)1 − λ max0⩽θ⩽π(sin θ)λ¦Pn(λ)(cos θ)¦, where Pn(λ)(x) is the ultraspherica...
Hypercontractive inequalities via SOS, and the Frankl-Rödl graph, Discrete Analysis 2016:4, 20 pp. ...
AbstractC. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appro...
We prove Turan-type inequalities for some special functions by using a generalization of the Schwarz...
AbstractThe main object of this paper is to investigate several general families of hypergeometric p...
AbstractWe present several inequalities forfa(x)=Γ(a,x)Γ(a,0)(a>0,x⩾0), where Γ(a,x) is the incomple...
AbstractWe show that the function ((x−dm)(x−dM))1/4xα/2e−x/2Lk(α)(x) is almost equioscillating with ...
AbstractIn this paper, we present asymptotic analysis on the coefficients of functions expanded in f...
In this paper we consider the strong asymptotic behavior of Laguerre polynomials in the complex plan...
In this paper we consider the strong asymptotic behavior of Laguerre polynomials in the complex plan...
With the aid of the monotone L’Hôpital rule, the authors verify monotonicity of some functions invol...