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Differential equations for Fq-linear functions, II: regular singularity

โœ Scribed by Anatoly N. Kochubei


Book ID
108485820
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
213 KB
Volume
9
Category
Article
ISSN
1071-5797

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Differential Equations for Fq-Linear Fun
โœ Anatoly N Kochubei ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 142 KB

We study certain classes of equations for F q -linear functions which are the natural function field counterparts of linear ordinary differential equations. It is shown that, in contrast to both classical and p-adic cases, formal power series solutions have positive radii of convergence near a singu