A New Linear Inversion Formula for a class of Hypergeometric polynomials

Ridha Nasri, Alain Simonian, Fabrice Guillemin

Given complex parameters $x$, $\nu$, $\alpha$, $\beta$ and $\gamma \notin -\mathbb{N}$, consider the infinite lower triangular matrix $\mathbf{A}(x,\nu ;\alpha ,\beta ,\gamma )$ with elements $$ A_{n,k}(x,ν;α,β,γ) =…