  We obtain two new Thomae-type transformations for hypergeometric series with
r pairs of numeratorial and denominatorial parameters differing by positive
integers. This is achieved by application of the so-called Beta integral method
developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B.
Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations.
Some special cases are given.
