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Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra +1
It is well known that Sobolev-type orthogonal polynomials with respect to measures supported on the real line satisfy higher-order recurrence relations and these can be expressed a…
On second order q-difference equations for high-order Sobolev-type q-Hermite orthogonal polynomials
Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra +1
The q-Hermite I-Sobolev type polynomials of higher order are consider for their study. Their hypergeometric representation is provided together with further useful properties such…
The annihilation operator for certain family of q-Hermite Sobolev-type orthogonal polynomials
Carlos Hermoso, Anier Soria-Lorente
We present a new family of monic polynomials in , orthogonal with respect to a Sobolev-type inner product related to the -Hermite I or…
On second order q-difference equations satisfied by Al-Salam-Carlitz I-Sobolev type polynomials of higher order
Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra +1
This contribution deals with the sequence of monic polynomials, orthogonal with respect to a Sobolev-type inner product related to the A…