Hypergeometric Functions and Carlitz Differential Equations over Function Fields
数论
2007-05-23 v3 环与代数
摘要
The paper is a survey of recent results in analysis of additive functions over function fields motivated by applications to various classes of special functions including Thakur's hypergeometric function. We consider basic notions and results of calculus, analytic theory of differential equations with Carlitz derivatives (including a counterpart of regular singularity), umbral calculus, holonomic modules over the Weyl-Carlitz ring.
引用
@article{arxiv.math/0504007,
title = {Hypergeometric Functions and Carlitz Differential Equations over Function Fields},
author = {Anatoly N. Kochubei},
journal= {arXiv preprint arXiv:math/0504007},
year = {2007}
}
备注
26 pages