4 citations · 10 across the 16 of their papers we have counts for
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Small divisors in the problem of the convergence of generalized power series solutions of -difference equations
Renat Gontsov, Irina Goryuchkina, Alberto Lastra
The question of the convergence of generalized formal power series (with complex power exponents) solutions of -difference equations is studied in the situation where the small…
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…
Entire solutions of linear systems of moment differential equations and related asymptotic growth at infinity
Alberto Lastra
The general entire solution to a linear system of moment differential equations is obtained in terms of a moment kernel function for generalized summability, and the Jordan decompo…
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…
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…