  Reduction formulas for sums of products of hypergeometric functions can be
traced back to Euler. This topic has an intimate connection to summation and
transformation formulas, contiguous relations and algebraic properties of the
(generalized) hypergeometric differential equation. Over recent several years,
important discoveries have been made in this subject by Gorelov, Ebisu, Beukers
and Jouhet and Feng, Kuznetsov and Yang. In this paper, we give a
generalization of Feng, Kuznetsov and Yang identity covering also Ebisu's and
Gorelov's formulas as particular cases.
