390 research outputs found
Intersection numbers and twisted period relations for the generalized hypergeometric function
We study the generalized hypergeometric function and the
differential equation satisfied by it. We use the twisted
(co)homology groups associated with an integral representation of Euler type.
We evaluate the intersection numbers of some twisted cocycles which are defined
as -th exterior products of logarithmic -forms. We also give twisted
cycles corresponding to the series solutions to , and evaluate the
intersection numbers of them. These intersection numbers of the twisted
(co)cycles lead twisted period relations which give relations for two
fundamental systems of solutions to .Comment: 13 page
- β¦