Abstract
By means of the linearization method, we establish analytical formulae for a class of terminating balanced \(_{4}F_{3}\)-series and the associated well-poised \(_{7}F_{6}\)-series. Several closed formulae are presented as examples.
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The first author is partially supported, during this work, by the National Science foundation of China (Youth Grant No. 11601543).
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Li, N.N., Chu, W. Terminating balanced \(_{4}F_{3}\)-series and very well-poised \(_{7}F_{6}\)-series. Ramanujan J 49, 465–482 (2019). https://doi.org/10.1007/s11139-018-00134-9
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DOI: https://doi.org/10.1007/s11139-018-00134-9
Keywords
- Classical hypergeometric series
- Linearization method
- Balanced series
- Well-poised series
- Whipple’s transformation