The Darboux transformation, well known in second-order differential operator theory, is applied to the difference equations satisfied by the discrete hypergeometric polynomials (Charlier, Meixner-Kravchuk, Hahn)
We investigate the recurrence coefficients of discrete orthogonal polynomials on the non-negative in...
Starting from the second-order difference hypergeometric equation satisfied by the set of discrete o...
AbstractThe goal of this work is to characterize all second order difference operators of several va...
Abstract. Darboux Transformation, well known in second order dierential operator theory, is applied ...
The Hirota–Miwa equation can be written in 'nonlinear' form in two ways: the discrete KP equation an...
We construct families of bispectral difference operators of the form a(n)T + b(n) + c(n)T−1 where T ...
The methods for discrete-group classification of the ordinary differential equation classes are cons...
Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u...
In the present paper, starting from the second-order difference hypergeometric equation on the non-u...
We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) dif...
AbstractIn the present paper, starting from the second-order difference hypergeometric equation on t...
A discrete version of the two-dimensional inverse scattering problem is considered. On this basis, a...
AbstractWe consider a modification of moment functionals for some classical polynomials of a discret...
General properties of ladder operators applied to inhomogeneous problems are studied in the context ...
AbstractIn this paper we obtain a set of polynomials which are orthogonal with respect to the classi...
We investigate the recurrence coefficients of discrete orthogonal polynomials on the non-negative in...
Starting from the second-order difference hypergeometric equation satisfied by the set of discrete o...
AbstractThe goal of this work is to characterize all second order difference operators of several va...
Abstract. Darboux Transformation, well known in second order dierential operator theory, is applied ...
The Hirota–Miwa equation can be written in 'nonlinear' form in two ways: the discrete KP equation an...
We construct families of bispectral difference operators of the form a(n)T + b(n) + c(n)T−1 where T ...
The methods for discrete-group classification of the ordinary differential equation classes are cons...
Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u...
In the present paper, starting from the second-order difference hypergeometric equation on the non-u...
We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) dif...
AbstractIn the present paper, starting from the second-order difference hypergeometric equation on t...
A discrete version of the two-dimensional inverse scattering problem is considered. On this basis, a...
AbstractWe consider a modification of moment functionals for some classical polynomials of a discret...
General properties of ladder operators applied to inhomogeneous problems are studied in the context ...
AbstractIn this paper we obtain a set of polynomials which are orthogonal with respect to the classi...
We investigate the recurrence coefficients of discrete orthogonal polynomials on the non-negative in...
Starting from the second-order difference hypergeometric equation satisfied by the set of discrete o...
AbstractThe goal of this work is to characterize all second order difference operators of several va...
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