Classical orthogonal polynomials of the Askey-Wilson scheme have many different properties, e.g. they satisfy differential and recurrence equations and they have hypergeometric representations, Rodrigues formulas, generating functions, moment representations, etc. In this paper we concentrate on finding multiple hypergeometric representations for the polynomial sequences belonging to the classical continuous and classical discrete classes that are defined on a linear lattice. Currently such a database is not available. Using computer algebra, especially Zeilberger’s algorithm, it is possible to prove such identities and therefore the paper is accompanied by a Maple worksheet containing derivations or proofs of all given identities, most of which are new.
