Quasi-Orthogonality of Some Hypergeometric and $q$-Hypergeometric Polynomials

Daniel D. Tcheutia, Alta S. Jooste, Wolfram Koepf

We show how to obtain linear combinations of polynomials in an orthogonal sequence $\{P_n{\}}_{n\ge 0}$, such as $Q_{n,k}(x)=\sum _{i=0}^k{a}_{n,i}{P}_{n-i}(x)$, $a_{n,0}a_{n,k}\…