Asymptotic expansions and Stokes multipliers of the confluent hypergeometric function Φ2 II. Behaviour near (∞, ∞) in P1(C)×P1(C)

Shun SHIMOMURA

doi:10.2969/jmsj/05010001

Asymptotic expansions and Stokes multipliers of the confluent hypergeometric function Φ₂

II. Behaviour near (∞, ∞) in P¹(C)×P¹(C)

Shun SHIMOMURA

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ジャーナルフリー

1998 年 50 巻 1 号 p. 1-22

DOI https://doi.org/10.2969/jmsj/05010001

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Published: 1998 Received: 1994/12/05 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文タイトル訂正内容: Wrong : Asymptotic expansions and Stokes multipliers of the confluent hypergeometric function Φ₂ II. Behaviour near (∞, ∞), in P¹(C)×P¹(C)
Right : Asymptotic expansions and Stokes multipliers of the confluent hypergeometric function Φ₂

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文サブタイトル訂正内容: Right : II. Behaviour near (∞, ∞) in P¹(C)×P¹(C)

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) B. Dwork and F. Loeser, Hypergeometnc series, Japan. J. Math., 19 (1993), 81-129.
2) A. Erdélyi, Integration of a certain system of linear partial differential equations of hypergeometric type, Proc. Roy. Soc. Edinburgh, 59 (1939), 224-241.
3) A. Erdélyi, Some confluent hypergeometric functions of two variables, Proc. Roy. Soc. Edinburgh, 60 (1940), 344-361.
4) A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher transcendental functions, vols. 1 and 2, McGraw-Hill, New York, 1953.
5) K. Okamoto and H. Kimura, On particular solutions of the Gamier systems and the hypergeometric functions of several variables, Quart. J. Math. Oxford (2), 37 (1986), 61-80.
6) S. Shimomura, Asymptotic expansions and Stokes multipliers of the confluent hypergeometric function Φ₂, I, Proc. Roy. Soc. Edinburgh (A), 123 (1993), 1165-1177.

Right : [1] B. Dwork and F. Loeser, Hypergeometric series, Japan. J. Math., 19 (1993), 81-129.
[2] A. Erdélyi, Integration of a certain system of linear partial differential equations of hypergeometric type, Proc. Roy. Soc. Edinburgh, 59 (1939), 224-241.
[3] A. Erdélyi, Some confluent hypergeometric functions of two variables, Proc. Roy. Soc. Edinburgh, 60 (1940), 344-361.
[4] A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher transcendental functions, vols. 1 and 2, McGraw-Hill, New York, 1953.
[5] K. Okamoto and H. Kimura, On particular solutions of the Garnier systems and the hypergeometric functions of several variables, Quart. J. Math. Oxford (2), 37 (1986), 61-80.
[6] S. Shimomura, Asymptotic expansions and Stokes multipliers of the confluent hypergeometric function Φ₂, I, Proc. Roy. Soc. Edinburgh (A), 123 (1993), 1165-1177.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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