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Some identities between basic hypergeometric series deriving from a new Bailey-type transformation |
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| Authors: | James Mc Laughlin Peter Zimmer |
| Institution: | Mathematics Department, Anderson Hall, West Chester University, West Chester, PA 19383, USA |
| Abstract: | We prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transformation to derive a number of new 3- and 4-term transformation formulae between basic hypergeometric series. |
| Keywords: | Q-series Basic hypergeometric series Bailey chains Bailey transform WP-Bailey pairs |
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