Monodromies at infinity of confluent A-hypergeometric functions

Kana Ando; Alexander Esterov; Kiyoshi Takeuchi

doi:10.1016/j.aim.2014.10.024

Monodromies at infinity of confluent A-hypergeometric functions

Kana Ando, Alexander Esterov, Kiyoshi Takeuchi

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	Advances in Mathematics
Volume	272
DOIs	https://doi.org/10.1016/j.aim.2014.10.024
Publication status	Published - 2015 Feb 6
Externally published	Yes

Keywords

A-hypergeometric functions
D-modules
Irregular singularities
Monodromy
Rapid decay homology

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.aim.2014.10.024

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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.",

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AU - Esterov, Alexander

AU - Takeuchi, Kiyoshi

PY - 2015/2/6

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N2 - 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.

AB - 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.

KW - A-hypergeometric functions

KW - D-modules

KW - Irregular singularities

KW - Monodromy

KW - Rapid decay homology

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ER -

Monodromies at infinity of confluent A-hypergeometric functions

Abstract

Keywords

ASJC Scopus subject areas

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