Differential Equations for $F_q$-Linear Functions, II: Regular Singularity

Details Differential Equations for $F_q$-Linear Functions, II: Regular Singularity Differential Equations for $F_q$-Linear Functions, II: Regular Singularity

2002-11-29

arxiv.org/abs/math/0211460v1

Mathematics

Number Theory

17 pages, LaTeX-2e

Scientific paper

We study some classes of equations with Carlitz derivatives for $F_q$-linear functions, which are the natural function field counterparts of linear ordinary differential equations with a regular singularity. In particular, an analog of the equation for the power function, the Fuchs and Euler type equations, and Thakur's hypergeometric equation are considered. Some properties of the above equations are similar to the classical case while others are different. For example, a simple model equation shows a possibility of existence of a non-trivial continuous locally analytic $F_q$-linear solution which vanishes on an open neighbourhood of the initial point. Part I: J. Number Theory, 83 (2000), 137-154.

Affiliated with

Also associated with

No associations

Rating

Differential Equations for $F_q$-Linear Functions, II: Regular Singularity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Differential Equations for $F_q$-Linear Functions, II: Regular Singularity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential Equations for $F_q$-Linear Functions, II: Regular Singularity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-91811