||REDUCIBILITY OF THE SYSTEMS OF DIFFERENTIAL EQUATIONS SATISFIED BY APPELL'S F_2,F_3 AND F_4
Mimachi, KatsuhisaSasaki, Takeshi
Kyushu Journal of Mathematics
435 , 2015-10-13 , Faculty of Mathematics, Kyushu University
By using the contiguity operators, we give a simple and elementary derivation of sufficient conditions that Appell's hypergeometric systems for F_2, F_3 and F_4 are reducible.