A relation for a class of Racah polynomials

In this paper we derive a relation for a class of Racah polynomials that appear in a conjecture of Kresch and Tamvakis. The relation follows from an inversion formula for a transformation of a discrete sequence of complex numbers $\{x_n{\}}_{n=0}^{\mathrm{\infty }}$. As a result of our inversion formula, we also obtain other combinatorial identities.