On integrality properties of hypergeometric series

Let $A$ be a set of $N$ vectors in ${\mathbb Z}^n$ and let $v$ vector C}^N$ that has minimal negative support for $A$. Such gives rise to formal series solution the $A$-hypergeometric system with parameter $\beta=Av$. If lies Q}^n$, then this rational coefficients. $p$ prime number. We characterize those whose coordinates are rational, $p$-integral, lie closed interval $[-1,0]$ which corresponding normalized $p$-integral From we deduce further integrality results hypergeometric series.