Quadratic relations for confluent hypergeometric functions
Majima, Hideyuki ; Matsumoto, Kenji ; Takayama, Nobuki
Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 489-513 / Harvested from Project Euclid
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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.
Publié le : 2000-05-14
Classification:  Period relation,  confluent hypergeometric function,  intersection theory,  32G20,  33C15,  33C60 
@article{1178207752,
     author = {Majima, Hideyuki and Matsumoto, Kenji and Takayama, Nobuki},
     title = {Quadratic relations for confluent hypergeometric functions},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 489-513},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207752}
}

Majima, Hideyuki; Matsumoto, Kenji; Takayama, Nobuki. Quadratic relations for confluent hypergeometric functions. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  489-513. http://gdmltest.u-ga.fr/item/1178207752/