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.

Copyright © 2000 Tohoku University
Hideyuki Majima, Kenji Matsumoto, and Nobuki Takayama "Quadratic relations for confluent hypergeometric functions," Tohoku Mathematical Journal 52(4), 489-513, (2000). https://doi.org/10.2748/tmj/1178207752
Published: 2000
Vol.52 • No. 4 • 2000
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