On the algebraic independence of values of generalized hypergeometric functions (Q382357)
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scientific article; zbMATH DE number 6228531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the algebraic independence of values of generalized hypergeometric functions |
scientific article; zbMATH DE number 6228531 |
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On the algebraic independence of values of generalized hypergeometric functions (English)
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18 November 2013
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The author investigates hypergeometric functions that are solutions of homogeneous linear differential equations. Several results are presented that prove the algebraic independence of the solutions of a set of hypergeometric equations as well as of the values of these solutions at algebraic points.
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generalized hypergeometric function
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linear differential equation
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algebraic independence of solutions
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Galois group
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differential field
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transcendence degree
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contiguous functions
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