Differential Equations for F_q-Linear Functions

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dc.creatorKochubei, Anatoly N.
dc.date1999-11-11
dc.date.accessioned2026-07-07T05:31:33Z
dc.date.available2026-07-07T05:31:33Z
dc.descriptionWe 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.
dc.description17 pages, LaTex-2e
dc.identifierhttps://arxiv.org/abs/math/9911075
dc.identifierhttp://arxiv.org/abs/math/9911075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79383
dc.subjectNumber Theory
dc.titleDifferential Equations for F_q-Linear Functions
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