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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 difference equations of Kravchuk-Sobolev type polynomials of higher order
Roberto S. Costas-Santos, Anier Soria-Lorente
In this contribution we consider sequences of monic polynomials orthogonal with respect to Sobolev-type inner product \[ \left\langle f,g\right\rangle _{λ,μ}\!=\!\sum_{x=0}^Nf(x)g(…
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…
Analytic properties of some basic hypergeometric-Sobolev-type orthogonal polynomials
Roberto S. Costas-Santos, A. Soria-Lorente
In this contribution we consider sequences of monic polynomials orthogonal with respect to a Sobolev-type inner product \[ \langle f,g \rangle _{S}:= \langle {\bf u}, f g\rangle +N…