  We discuss relations which exist between analytic functions belonging to the
recently introduced class of special functions of the isomonodromy type
(SFITs). These relations can be obtained by application of some simple
transformations to auxiliary ODEs with respect to a spectral parameter which
associated with each SFIT. We consider two applications of rational
transformations of the spectral parameter in the theory of SFITs. One of the
most striking applications which is considered here is an explicit construction
of algebraic solutions of the sixth Painlev\'e equation.
