On formal series solutions of polynomial difference equations

DOI10.5802/aif.1407zbMath0803.39005OpenAlexW2073262954MaRDI QIDQ1337035

V. Pereyra

Publication date: 14 December 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_2_495_0

zbMATH Keywords

Mellin transformNewton polygonindexGevrey seriesfactorial seriespolynomial difference equationsformal series solutions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Additive difference equations (39A10)

Related Items

On the sum of certain factorial series, Computing hypergeometric solutions of linear recurrence equations, An algorithm of multisummation of formal power series, solutions of linear ODEs., Finite singularities and hypergeometric solutions of linear recurrence equations

Cites Work

• Sur les points singuliers des équations différentielles
• Théorèmes d’indices Gevrey pour les équations différentielles ordinaires
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