Open Access
2000 Quadratic relations for confluent hypergeometric functions
Hideyuki Majima, Kenji Matsumoto, Nobuki Takayama
Tohoku Math. J. (2) 52(4): 489-513 (2000). DOI: 10.2748/tmj/1178207752

Abstract

We present a theory of intersection on the complex projective line for homology and cohomology groups defined by connections which are regular or not. We apply this theory to confluent hypergeometric functions, and obtain, as an analogue of period relations, quadratic relations satisfied by confluent hypergeometric functions.

Citation

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Hideyuki Majima. Kenji Matsumoto. Nobuki Takayama. "Quadratic relations for confluent hypergeometric functions." Tohoku Math. J. (2) 52 (4) 489 - 513, 2000. https://doi.org/10.2748/tmj/1178207752

Information

Published: 2000
First available in Project Euclid: 3 May 2007

zbMATH: 1006.33004
MathSciNet: MR2002E:32021
Digital Object Identifier: 10.2748/tmj/1178207752

Subjects:
Primary: 32G20
Secondary: 33C15 , 33C60

Keywords: confluent hypergeometric function , intersection theory , Period relation

Rights: Copyright © 2000 Tohoku University

Vol.52 • No. 4 • 2000
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