Explicit logarithmic formulas of special values of hypergeometric functions F-3(2)

In [M. Asakura, N. Otsubo and T. Terasoma, An algebro-geometric study of special values of hypergeometric functions F-3(2), to appear in Nagoya Math. J.; https://doi.org/10.1017/nmj.2018.36], we proved that the value of F-3(2)((a,b,q)(a+b,q); 1) of the generalized hypergeometric function is a (Q) over bar -linear combination of log of algebraic numbers if rational numbers a, b, q satisfy a certain condition. In this paper, we present a method to obtain an explicit description of it