Some curious q-series expansions and beta integral evaluations
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🧮 math.CA
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curiousexpansionssomeevaluationsintegralq-seriesappearapplying
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We deduce several curious q-series expansions by applying inverse relations to certain identities for basic hypergeometric series. After rewriting some of these expansions in terms of q-integrals, we obtain, in the limit q -> 1, some curious beta-type integral evaluations which appear to be new.
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