Zeros of $p$-adic hypergeometric functions, $p$-adic analogues of\n Kummer's and Pfaff's identities

We classify all the zeros and non-zero values of a family of hypergeometric\nseries in the $p$-adic setting. These values of hypergeometric series in the\n$p$-adic setting lead to transformations of hypergeometric series in the\n$p$-adic setting which can be described as $p$-adic analogues of Kummer's and\nPfaff's linear transformations on classical hypergeometric series. We also\nevaluate certain summation identities for hypergeometric series in the $p$-adic\nsetting as well as Gaussian hypergeometric series.\n