Degenerate Miller-Paris transformations (Q2311938)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Degenerate Miller-Paris transformations |
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Degenerate Miller-Paris transformations (English)
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4 July 2019
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The Miller-Paris transformations have been discovered in the theory of generalized hypergeometric functions. The transformations are valid for the difference of two parameters being greater than a positive inter \(m\). The authors study the case where the difference is equal to \(\{1,2,\dots,m\}\) and give an answer to it. They also explore the extreme cases \(1,2,m\) when many formulas simplify significantly.
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generalized hypergeometric function
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Miller-Paris transformation
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summation formula
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Karlsson-Minton formula
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