AbstractWe show that if a linear differential equation of spectral type with polynomial coefficients LN[y](x) = ∑i=0Nli(x) = λny(x) has an orthogonal polynomial system of solutions, then the differential operator LN[·] must be symmetrizable. We also give a few applications of this result
AbstractConsider (Sobolev) orthogonal polynomials which are orthogonal relative to a Sobolev bilinea...
AbstractThis paper deals with spectral type differential equations of the self-adjoint differential ...
AbstractWe look for differential equations of the form Σ∞i=0ci(x)y(i)(x) = 0, where the coefficients...
AbstractWe show that if a linear differential equation of spectral type with polynomial coefficients...
AbstractNecessary and sufficient conditions for an orthogonal polynomial system (OPS) to satisfy a d...
AbstractWe show that if a second order partial differential equation: L[u]:= Auxx + 2Buxy + Cuyy + D...
AbstractConsider (Sobolev) orthogonal polynomials which are orthogonal relative to a Sobolev bilinea...
AbstractThis paper surveys the latest known results concerning the classification of differential eq...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
AbstractWe show that for any orthogonal polynomials Pn(x)n=0∞ satisfying a spectral type differentia...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
The theory of matrix valued orthogonal polynomials goes back to the fundamental works of M. G. Krein...
AbstractLet τ=σ+ν be a point mass perturbation of a classical moment functional σ by a distribution ...
AbstractConsider (Sobolev) orthogonal polynomials which are orthogonal relative to a Sobolev bilinea...
AbstractThis paper deals with spectral type differential equations of the self-adjoint differential ...
AbstractWe look for differential equations of the form Σ∞i=0ci(x)y(i)(x) = 0, where the coefficients...
AbstractWe show that if a linear differential equation of spectral type with polynomial coefficients...
AbstractNecessary and sufficient conditions for an orthogonal polynomial system (OPS) to satisfy a d...
AbstractWe show that if a second order partial differential equation: L[u]:= Auxx + 2Buxy + Cuyy + D...
AbstractConsider (Sobolev) orthogonal polynomials which are orthogonal relative to a Sobolev bilinea...
AbstractThis paper surveys the latest known results concerning the classification of differential eq...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
AbstractWe show that for any orthogonal polynomials Pn(x)n=0∞ satisfying a spectral type differentia...
Certain well known polynomials have a number of common properties. They arise as coefficients of tn ...
The theory of matrix valued orthogonal polynomials goes back to the fundamental works of M. G. Krein...
AbstractLet τ=σ+ν be a point mass perturbation of a classical moment functional σ by a distribution ...
AbstractConsider (Sobolev) orthogonal polynomials which are orthogonal relative to a Sobolev bilinea...
AbstractThis paper deals with spectral type differential equations of the self-adjoint differential ...
AbstractWe look for differential equations of the form Σ∞i=0ci(x)y(i)(x) = 0, where the coefficients...
DOI
Add to ORKG