See Chapter 5, "The $p$-adic evaluation of Pochhammer symbols", in On Dwork’s $p$-adic formal congruences theorem and hypergeometric mirror maps by E. Delaygue, T. Rivoal and J. Roques, Memoirs of the American Mathematical Society 246, 1163 (2017).

See Chapter 5, "The $p$-adic evaluation of Pochhammer symbols", in On Dwork’s $p$-adic formal congruences theorem and hypergeometric mirror maps by E. Delaygue, T. Rivoal and J. Roques, Memoirs of the American Mathematical Society 246, 1163 (2017). [A preprint from 2013 has open access here, see page 22.