Supercongruences between truncated ${}_3{F}_2$ hypergeometric series

Abstract

We establish four supercongruences between truncated ${}_3{F}_2$ hypergeometric series involving $p$-adic Gamma functions, which extend some of the Rodriguez-Villegas supercongruences.

The results of this paper are added to arXiv:1610.03799, which is accepted by Journal of Difference Equations and Applications

References in corpus (1)

• Supercongruences related to ${}_3{F}_2(1)$ involving harmonic numbers