A relation for a class of Racah polynomials

TL;DR

This paper derives a new relation for a class of Racah polynomials using an inversion formula, leading to additional combinatorial identities, and addresses a conjecture by Kresch and Tamvakis.

Contribution

It introduces a novel relation for Racah polynomials based on an inversion formula, advancing understanding in this mathematical area.

Findings

Derived a new relation for Racah polynomials

Established an inversion formula for complex sequences

Obtained new combinatorial identities

Abstract

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 $\{ x_n \}_{n=0}^{\infty}$. As a result of our inversion formula, we also obtain other combinatorial identities.