Summary
Some simple ideas of G. E. Andrews ([2], [3]) are used here to derive a transformation formula for a general multiple q-series with essentially arbitrary terms. As applications of (or motivated by) this q-series transformation, several transformation and reduction formulas for q-hypergeometric series in two and more variables are presented. Relevant connections of the various q-identities considered here with a number of known results are also indicated.
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Supported, in part, by N.S.E.R.C. (Canada) Grant A-7353.
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Srivastava, H.M. Some transformations and reduction formulas for multipleq-hypergeometric series. Annali di Matematica pura ed applicata 144, 49–56 (1986). https://doi.org/10.1007/BF01760810
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DOI: https://doi.org/10.1007/BF01760810