  In this paper we continue investigation of the hypergeometric function
${}_4F_3(1)$ as the function of its seven parameters. We deduce several
reduction formulas for this function under additional conditions that one of
the top parameters exceeds one of the bottom parameters by a positive integer
or reversely one of the bottom parameters exceeds one of the top parameters by
a positive integer or both. We show that all such cases reduce to the case of
the unit parameter difference. The latter case, in turn, can be expressed in
terms of certain linear combination of two series involving the logarithmic
derivative of the gamma function.
