In this paper we introduce the ∆-Volterra lattice which is interpreted in terms of symmetric orthogonal polynomials. It is shown that the measure of orthogonality associated with these systems of orthogonal polynomials evolve in t like (1+x2)1−tµ(x) where µ is a given positive Borel measure. Moreover, the ∆-Volterra lattice is related to the ∆-Toda lattice from Miura or Bäcklund transformations. The main ingredients are orthogonal polynomials which satisfy an Appell condition with respect to the forward difference operator ∆ and the characterization of the point spectrum of a Jacobi operator that satisfies a ∆-Volterra equation (Lax type theorem). We also provide an explicit example of solutions of ∆-Volterra and ∆-Toda lattices, and conne...
In this paper we explore orthogonal systems in L2(R) which give rise to a real skew-symmetric, tridi...
We deduce difference equations in the matrix form for Laguerre–Hahn orthogonal polynomials on system...
AbstractThe Symmetric Meixner–Pollaczek polynomials pn(λ)(x/2,π/2), for λ>0 are well-studied polynom...
In this paper we introduce the Δ-Volterra lattice which is interpreted in terms of symmetric orthogo...
In this paper we introduce the Δ-Volterra lattice which is interpreted in terms of symmetric orthogo...
n this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials ort...
In this paper a discretization of Toda equations is analyzed. The correspondence between these Δ-Tod...
We consider matrix Toda and Volterra lattice equations and their relation with matrix biorthogonal p...
The correspondences between dynamics of q-Toda and q-Volterra equations for the coefficients of the ...
Transformation of the measure of orthogonality for orthogonal polynomials, namely Freud transformati...
A characterization theorem for Laguerre–Hahn orthogonal polynomials on non-uniform lattices is state...
Abstract. We review properties of -orthogonal polynomials, related to their orthogonality, duality a...
AbstractOrthogonal polynomials on the real line always satisfy a three-term recurrence relation. The...
AbstractTo study polynomials orthogonal with respect to the logarithmic equilibrium measure on the J...
Abstract: In this paper we study sequences of vector orthogonal polynomials. The vector orthogonalit...
In this paper we explore orthogonal systems in L2(R) which give rise to a real skew-symmetric, tridi...
We deduce difference equations in the matrix form for Laguerre–Hahn orthogonal polynomials on system...
AbstractThe Symmetric Meixner–Pollaczek polynomials pn(λ)(x/2,π/2), for λ>0 are well-studied polynom...
In this paper we introduce the Δ-Volterra lattice which is interpreted in terms of symmetric orthogo...
In this paper we introduce the Δ-Volterra lattice which is interpreted in terms of symmetric orthogo...
n this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials ort...
In this paper a discretization of Toda equations is analyzed. The correspondence between these Δ-Tod...
We consider matrix Toda and Volterra lattice equations and their relation with matrix biorthogonal p...
The correspondences between dynamics of q-Toda and q-Volterra equations for the coefficients of the ...
Transformation of the measure of orthogonality for orthogonal polynomials, namely Freud transformati...
A characterization theorem for Laguerre–Hahn orthogonal polynomials on non-uniform lattices is state...
Abstract. We review properties of -orthogonal polynomials, related to their orthogonality, duality a...
AbstractOrthogonal polynomials on the real line always satisfy a three-term recurrence relation. The...
AbstractTo study polynomials orthogonal with respect to the logarithmic equilibrium measure on the J...
Abstract: In this paper we study sequences of vector orthogonal polynomials. The vector orthogonalit...
In this paper we explore orthogonal systems in L2(R) which give rise to a real skew-symmetric, tridi...
We deduce difference equations in the matrix form for Laguerre–Hahn orthogonal polynomials on system...
AbstractThe Symmetric Meixner–Pollaczek polynomials pn(λ)(x/2,π/2), for λ>0 are well-studied polynom...