Monodromies at infinity of confluent A-hypergeometric functions
arXiv:1312.6786
Abstract
We study the monodromies at infinity of confluent A-hypergeometric functions introduced by Adolphson. In particular, we extend the result of the third author for non-confluent A-hypergeometric functions to the confluent case. The integral representation by rapid decay homology cycles will play a central role in the proof.
18 pages, to appear in Advances in Mathematics
References in corpus (5)
- Irregularity of hypergeometric systems via slopes along coordinate subspaces
- Hypergeometric D-modules and twisted Gauss-Manin systems
- Resonance equals reducibility for A-hypergeometric systems
- Motivic Milnor fibers and Jordan normal forms of Milnor monodromies
- Confluent A-hypergeometric functions and rapid decay homology cycles