Differential equations for \(\mathbb F_q\)-linear functions. II: Regular singularity.

DOI10.1016/S1071-5797(03)00004-2zbMath1081.11075arXivmath/0211460MaRDI QIDQ1870035

Anatoly N. Kochubei

Publication date: 4 May 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211460

zbMATH Keywords

equationEulerHypergeometric equation\(\mathbb F_q\)-linear functionCarlitz derivativeFuchs equationRegular singularity

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite fields and commutative rings (number-theoretic aspects) (11T99) Special functions in characteristic (p) (gamma functions, etc.) (33E50) General theory for ordinary differential equations (34A99)

Related Items (3)

Quasi-holonomic modules in positive characteristic ⋮ Umbral calculus in positive characteristic ⋮ DWORK–CARLITZ EXPONENTIAL AND OVERCONVERGENCE FOR ADDITIVE FUNCTIONS IN POSITIVE CHARACTERISTIC

Cites Work

• Some special functions over \(GF (q,x)\)
• Fourier series, measures and divided power series in the theory of function fields
• Harmonic oscillator in characteristic \(p\)
• Locally analytic functions over completions of \(\mathbb F_r[U\)]
• \(\mathbb{F}_q\)-linear calculus over function fields
• Differential equations for \({\mathbb F}_q\)-linear functions
• Hypergeometric functions for function fields
• An Introduction to "G"-Functions. (AM-133)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Differential equations for \(\mathbb F_q\)-linear functions. II: Regular singularity.