Tohoku Mathematical Journal
2000
December
SECOND SERIES VOL. 52, NO. 4

Tohoku Math. J.
52 (2000), 489-513

Title QUADRATIC RELATIONS FOR CONFLUENT HYPERGEOMETRIC FUNCTIONS

Author Hideyuki Majima, Keiji Matsumoto and Nobuki Takayama

(Received February 19, 1999, revised January 25, 2000)
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.

2000 Mathematics Subject Classification. Primary 32G20; Secondary 33Cxx, 55N33.
Key words and phrases. Period relation, confluent hypergeometric function, intersection theory.

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