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Nonterminating Basic Hypergeometric Series and the q-Zeilberger Algorithm
basic hypergeometric series q-Zeilberger algorithm Bailey's very-well-poised summation formula Sears-Carlitz transformation Rogers-Fine identity
2014/6/3
We present a systematic method for proving nonterminating basic hypergeometric identities. Assume that k is the summation index. By setting a parameter x to xqn, we may find a recurrence relation of t...