×

zbMATH — the first resource for mathematics

On the summability of the formal solutions of a class of inhomogeneous linear difference equations. (English) Zbl 0872.39002
The author discusses different equivalent ways of summing the formal solution \(\widehat{f}\) of a linear difference equation \(y(z)-a(z)y(z+1)= b(z)\), where \(a,b\in z^{-1}C\{z^{-1}\}\) and \(\lim_{z\to\infty} za(z)\neq 0\). The results obtained in this paper form an illustration of the theory of weak acceleration operators and cohensive functions of J. Ecalle [J. Anal. Math. 60, 71-97 (1993; Zbl 0808.30002)].

MSC:
39A10 Additive difference equations
PDF BibTeX XML Cite