Baileyʹs well-poised 6-series implies the Askey–Wilson integral

Baileyʹs fundamental identity of bilateral well-poised ψ 6 6 -series is utilized to present shorter proofs for the two important q-beta integrals discovered by Askey and Wilson (1985) [4] and Askey (1987) [3]. Another rather general q-beta integral containing many extra parameters is similarly derived from Chuʹs extended Karlsson–Minton-type identity for a bilateral well-poised ψ 2 n + 6 6 + 2 n -series.