p-adic Generalized Hypergeometric Equations from the Viewpoint of   Arithmetic D-modules
  We study the $p$-adic (generalized) hypergeometric equations by using the theory of multiplicative convolution of arithmetic $\mathscr{D}$-modules. As a result, we prove that the hypergeometric isocrystals with suitable rational parameters have a structure of overconvergent $F$-isocrystals. 
Kazuaki Miyatani
math.AG math.NT