Confluent A-hypergeometric functions and rapid decay homology cycles

Abstract

We study confluent A-hypergeometric functions introduced by Adolphson. In particular, we give their integral representations by using rapid decay homology cycles of Hien and obtain a formula for the asymptotic expansions at infinity of confluent A-hypergeometric functions.

40 pages with an addendum on the case of resonant parameters

References in corpus (3)

• Irregularity of hypergeometric systems via slopes along coordinate subspaces
• Hypergeometric D-modules and twisted Gauss-Manin systems
• Resonance equals reducibility for A-hypergeometric systems

Cited by in corpus (3)

• Gevrey expansions of hypergeometric integrals I
• Pfaffian Systems of A-Hypergeometric Equations I: Bases of Twisted Cohomology Groups
• Monodromies at infinity of confluent A-hypergeometric functions