Integrals that can be represented as linear forms of generalized polylogarithms. (Q1810127)
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scientific article; zbMATH DE number 1928213
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrals that can be represented as linear forms of generalized polylogarithms. |
scientific article; zbMATH DE number 1928213 |
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Integrals that can be represented as linear forms of generalized polylogarithms. (English)
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15 June 2003
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The author introduces two kinds of integrals \(V(z)\) and \(S(z)\), where \(V(z)\) generalizes Beukers-Vasilenko's integrals, which have a close connection with multiple zeta values, and \(S(z)\) is a generalization of Sorokin's integrals. Then he establishes the connection between \(V(z)\) and \(S(z)\), and further expresses \(S(z)\) as a linear form of generalized polylogarithms.
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