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math.CA2007★ 13 cited
An ultrametric version of the Maillet-Malgrange theorem for nonlinear q-difference equations
Lucia Di Vizio
We prove an ultrametric q-difference version of the Maillet-Malgrange theorem, on the Gevrey nature of formal solutions of nonlinear analytic q-difference equations. Since °_q and…
math.CA2007
On q-summation and confluence
Lucia Di Vizio, Changgui Zhang
This paper is divided in two parts. In the first part we consider irregular singular analytic q-difference equations, with q\in ]0,1[, and we show how the Borel sum of a divergent…