A. Lastra

activity

20102026

most citedOn the multiple-scale analysis for some linear partial

q

-difference and differential equations with holomorphic coefficients

20 citations · 86 across the 50 of their papers we have counts for

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Showing 2020 · math.CAShow all

2 papers · 2 filters

math.CA2020

On the convergence of generalized power series solutions of $q$ -difference equations

Renat Gontsov, Irina Goryuchkina, Alberto Lastra

A sufficient condition for the convergence of a generalized formal power series solution to an algebraic $q$ -difference equation is provided. The main result leans on a geometric p…

math.CA2020★ 2 cited

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 ${U_{n}^{(a)} (x; q, j)}_{n \geq 0}$ of monic polynomials, orthogonal with respect to a Sobolev-type inner product related to the A…

On the convergence of generalized power series solutions of q-difference equations

On second order q-difference equations satisfied by Al-Salam-Carlitz I-Sobolev type polynomials of higher order

On the convergence of generalized power series solutions of $q$ -difference equations