  Based on the method developed in [K.~H.~Phan and T.~Riemann, Phys.\ Lett.\ B
{\bf 791} (2019) 257], detailed analytic results for scalar one-loop two-,
three-, four-point integrals in general $d$-dimension are presented in this
paper. The calculations are considered all external kinematic configurations
and internal mass assignments. Analytic formulas are expressed in terms of
generalized hypergeometric series such as Gauss $_2F_1$, Appell $F_1$ and
Lauricella $F_S$ functions.
