Logarithmic A-hypergeometric series

Saito, Mutsumi

International journal of mathematics, 2020, 31(13), 2050110

Permalink : https://hdl.handle.net/2115/83377

このアイテムのアクセス数:440件（2026-08-08 14:06 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
Int. J. Math.31-13_2050110	pdf	386 KB	301

アクセス権	open access
URI	https://hdl.handle.net/2115/83377
タイトル	Logarithmic A-hypergeometric series
著者	e-Rad_Researcher 70215565 著者名 Saito, Mutsumi
言語	英語
キーワード	A-hypergeometric systems
キーワード	the method of Frobenius
発行日	2020-12
出版者	World Scientific Publishing
収録物名	International journal of mathematics
巻(号)	31(13)
ページ	2050110
抄録	The method of Frobenius is a standard technique to construct series solutions of an ordinary linear differential equation around a regular singular point. In the classical case, when the roots of the indicial polynomial are separated by an integer, logarithmic solutions can be constructed by means of perturbation of a root. The method for a regular A-hypergeometric system is a theme of the book by Saito, Sturmfels and Takayama. Whereas they perturbed a parameter vector to obtain logarithmic A-hypergeometric series solutions, we adopt a different perturbation in this paper.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Electronic version of an article published as International Journal of MathematicsVol. 31, No. 13, 2050110 (2020) https://doi.org/10.1142/S0129167X20501104 ©World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijm
PISSN	0129-167X
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1142/S0129167X20501104