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math.CA2021
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…
math.CA2021
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…