Symbolic operational images and decomposition formulas for hypergeometric functions (Q624603)
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scientific article; zbMATH DE number 5848893
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symbolic operational images and decomposition formulas for hypergeometric functions |
scientific article; zbMATH DE number 5848893 |
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Symbolic operational images and decomposition formulas for hypergeometric functions (English)
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9 February 2011
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Using the differential operator \(D\) and its inverse (defined as the integral operator and setting the lower limit to \(0\)), the author develops techniques to represent hypergeometric functions and their generalizations with several summation quantifiers. Here the operator (and combinations of it) is applied to simpler expressions like, e.g., products such that its image produces the desired series. In addition, new decomposition formulas are presented. Various examples illustrate how these techniques can be applied.
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differential operator
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operational images
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hypergeometric functions
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decomposition formulas
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