AbstractSome families of orthogonal matrix polynomials satisfying second-order differential equations with coefficients independent of n have recently been introduced (see [Internat. Math. Res. Notices 10 (2004) 461–484]). An important difference with the scalar classical families of Jacobi, Laguerre and Hermite, is that these matrix families do not satisfy scalar type Rodrigues’ formulas of the type (ΦnW)(n)W-1, where Φ is a matrix polynomial of degree not bigger than 2. An example of a modified Rodrigues’ formula, well suited to the matrix case, appears in [Internat. Math. Res. Notices 10 (2004) 482].In this note, we discuss some of the reasons why a second order differential equation with coefficients independent of n does not imply, in ...
AbstractOrthogonal matrix polynomials, on the real line or on the unit circle, have properties which...
AbstractThe method developed in [A.J. Durán, F.A. Grünbaum, Orthogonal matrix polynomials satisfying...
AbstractFor every value of the parameters α,β>−1 we find a matrix valued weight whose orthogonal pol...
AbstractSome families of orthogonal matrix polynomials satisfying second-order differential equation...
AbstractIn this paper we prove some characterizations of the matrix orthogonal polynomials whose der...
AbstractThe properties of matrix-valued polynomials generated by the scalar-type Rodrigues’ formulas...
AbstractThe subject of orthogonal polynomials cuts across a large piece of mathematics and its appli...
The theory of matrix valued orthogonal polynomials goes back to the fundamental works of M. G. Krein...
AbstractWe find structural formulas for a family (Pn)n of matrix polynomials of arbitrary size ortho...
AbstractIn this paper, Jacobi matrix polynomials are introduced, starting from the hypergeometric ma...
AbstractClassical orthogonal polynomials in one variable can be characterized as the only orthogonal...
AbstractIn this paper we construct the main algebraic and differential properties and the weight fun...
AbstractThe main purpose of this paper is to present new families of Jacobi type matrix valued ortho...
AbstractWe show that any scalar differential operator with a family of polynomials as its common eig...
AbstractWe present two infinite sequences of polynomial eigenfunctions of a Sturm–Liouville problem....
AbstractOrthogonal matrix polynomials, on the real line or on the unit circle, have properties which...
AbstractThe method developed in [A.J. Durán, F.A. Grünbaum, Orthogonal matrix polynomials satisfying...
AbstractFor every value of the parameters α,β>−1 we find a matrix valued weight whose orthogonal pol...
AbstractSome families of orthogonal matrix polynomials satisfying second-order differential equation...
AbstractIn this paper we prove some characterizations of the matrix orthogonal polynomials whose der...
AbstractThe properties of matrix-valued polynomials generated by the scalar-type Rodrigues’ formulas...
AbstractThe subject of orthogonal polynomials cuts across a large piece of mathematics and its appli...
The theory of matrix valued orthogonal polynomials goes back to the fundamental works of M. G. Krein...
AbstractWe find structural formulas for a family (Pn)n of matrix polynomials of arbitrary size ortho...
AbstractIn this paper, Jacobi matrix polynomials are introduced, starting from the hypergeometric ma...
AbstractClassical orthogonal polynomials in one variable can be characterized as the only orthogonal...
AbstractIn this paper we construct the main algebraic and differential properties and the weight fun...
AbstractThe main purpose of this paper is to present new families of Jacobi type matrix valued ortho...
AbstractWe show that any scalar differential operator with a family of polynomials as its common eig...
AbstractWe present two infinite sequences of polynomial eigenfunctions of a Sturm–Liouville problem....
AbstractOrthogonal matrix polynomials, on the real line or on the unit circle, have properties which...
AbstractThe method developed in [A.J. Durán, F.A. Grünbaum, Orthogonal matrix polynomials satisfying...
AbstractFor every value of the parameters α,β>−1 we find a matrix valued weight whose orthogonal pol...