Nakagiri's Monodromy Representations Associated with Appell's Hypergeometric Functions F-2 and F-3

作者：Mimachi Katsuhisa^*

来源：Funkcialaj Ekvacioj-Serio Internacia, 2017, 60(1): 77-132.

DOI：10.1619/fesi.60.77

• Appell's hypergeometric functions F-2 and F-3 Hyper geometric integrals
• Nakagiri's monodromy representations
• Irreducibility

We study monodromy representations associated with Appell's hypergeometric functions F-2 and F-3 by using integrals of multivalued functions. In particular, we derive Nakagiri's matix elements of the representations in a different manner and relax his conditions on the parameters. As an application, we give a simple and elementary derivation of sufficient conditions that the systems of differential equations satisfied by F-2 and F-3 are irreducible.

• 出版日期2017-4