
INTERSECTION NUMBERS AND TWISTED PERIOD RELATIONS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION _<m+1>F_mINTERSECTION NUMBERS AND TWISTED PERIOD RELATIONS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION _<m+1>F_mAA10994346 
"/Goto, Yoshiaki/"Goto, Yoshiaki
69
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, pp.203

217 , 20150609 , Faculty of Mathematics, Kyushu University
ISSN:13406116
NCID:AA10994346
Description
We consider the generalized hypergeometric function _<m+1>E_m and the differential equation _<m+1>E_m that it satisfies. We use the twisted (co)homology groups associated with an Eulertype integral representation. We evaluate the intersection numbers of the twisted cocycles that are defined as the mth exterior productsof logarithmic 1forms. We also provide the twisted cycles corresponding to the local solutions to _<m+1>E_m around the origin, and we evaluate their intersection numbers. The intersection numbers of the twisted (co)cycles lead to the twisted period relations between two fundamental systems of solutions to _<m+1>E_m.