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Differential Equations for Fq-Linear Functions

✍ Scribed by Anatoly N Kochubei

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
142 KB
Volume
83
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 singular point of an equation. Algebraic properties of the ring of F q -linear differential operators are also studied.

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