Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters (Q2661153)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters |
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Evaluation of nonterminating \(_3F_2(\frac{1}{4})\)-series perturbed by three integer parameters (English)
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1 April 2021
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In this article, the authors developed explicitly analytical formulas for a broad class of nonterminating series perturbed by three additional integer parameters using the linearization approach and the inversion technique. As examples, a number of closed equations are shown.
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hypergeometric series
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inverse series relations
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Pfaff-Saalschütz theorem
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linearization method
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series rearrangement
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finite differences
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