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Logarithmic A-hypergeometric series II

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Title: Logarithmic A-hypergeometric series II
Authors: Okuyama, Go Browse this author
Saito, Mutsumi Browse this author →KAKEN DB
Keywords: A-hypergeometric systems
The method of Frobenius
Issue Date: 2022
Publisher: Springer
Journal Title: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Volume: 64
Issue: 4
Start Page: 1057
End Page: 1086
Publisher DOI: 10.1007/s13366-022-00669-5
Abstract: In this paper, following (Saito in Int J Math 31(13):2050110, 2020), we continue to develop the perturbingmethod of constructing logarithmic series solutions to a regular A-hypergeometric system. Fixing a fake exponent of an A-hypergeometric system, we consider some spaces of linear partial differential operators with constant coefficients. Comparing these spaces, we construct a fundamental system of series solutions with the given exponent by the perturbingmethod. In addition, we give a sufficient condition for a given fake exponent to be an exponent. As important examples of themain results, we give fundamental systems of series solutions to Aomoto-Gel'fand systems and to Lauricella's F-C systems with special parameter vectors, respectively.
Rights: This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at:
Type: article (author version)
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 齋藤 睦

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