  We prove a new case of mixed discrete joint universality theorem on
approximation of certain target couple of analytic functions by the shifts of a
pair consisting of the function belonging to wide class of Matsumoto
zeta-functions and the periodic Hurwitz zeta-function. We work under the
condition that the common difference of arithmetical progression satisfies a
certain rational condition and the parameter is a transcendental number. The
essential difference from the result in our previous article is that here we do
not study the class of partial zeta-functions, but work with the class of the
original functions.
