On identities of Bailey
Abstract
In this paper, we provide proofs of two summation formulas of Bailey using a identity of Carlitz. We show that in the limiting case, the two identities give rise to two summation formulas of Bailey. Finally, we prove the two identities using a technique initially used by Ismail to prove Ramanujan’s summation formula and later by Ismail and Askey to prove Bailey’s very-well-poised sum.
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