Terminating balanced \(_{4}F_{3}\)-series and very well-poised \(_{7}F_{6}\)-series (Q2319918)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Terminating balanced \(_{4}F_{3}\)-series and very well-poised \(_{7}F_{6}\)-series |
scientific article |
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Terminating balanced \(_{4}F_{3}\)-series and very well-poised \(_{7}F_{6}\)-series (English)
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20 August 2019
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In this paper, the authors established analytical formulae for a class of terminating balanced \(_{4}F_{3}\)-series and the associated well-positioned \(_{7}F_{6}\)-series by using the linearization method. Examples of several closed formulae are presented.
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classical hypergeometric series
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linearization method
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balanced series
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well-positioned series
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Whipple's transformation
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