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In a joint paper [4] by Otsubo, Terasoma and the first author, we proved thatthe special value 3F2(a,b,q;a+b,q;1) of the generalized hypergeometric functionis a linear combination of log of algebraic numbers if the triplet (a,b,q) ofrational numbers satisfies a certain numerical condition. However there remainsa question how to obtain explicit descriptions of the values. In this paper, wegive a method to do this, which is a further development of the technique in[4].

Explicit logarithmic formulas of special values of hypergeometric functions 3F2