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Monodromies at infinity of confluent A-hypergeometric functions |
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| Authors: | Kana Ando Alexander Esterov Kiyoshi Takeuchi |
| Affiliation: | 1. Institute of Mathematics, University of Tsukuba, 1-1-1, Tennodai, Tsukuba, Ibaraki, 305-8571, Japan;2. National Research University Higher School of Economics, Faculty of Mathematics NRU HSE, 7 Vavilova, 117312 Moscow, Russia |
| Abstract: | We study the monodromies at infinity of confluent A-hypergeometric functions introduced by Adolphson [2]. In particular, we extend the result of [38] for non-confluent A-hypergeometric functions to the confluent case. The integral representation by rapid decay homology cycles proved in [9] will play a central role in the proof. |
| Keywords: | 14M25 32S40 32S60 33C70 35A27 |
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