Generalized Hölder's theorem for multiple gamma function (Q2751098)
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scientific article; zbMATH DE number 1664376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Hölder's theorem for multiple gamma function |
scientific article; zbMATH DE number 1664376 |
Statements
3 July 2002
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Barnes integrals
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gamma functions
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\(q\)-gamma functions
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multiple gamma functions
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Generalized Hölder's theorem for multiple gamma function (English)
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The author concentrates his study of the multiple gamma functions which play useful role in studies on quantum integral systems. Certain differential relations involving the multiple gamma functions are considered, and generalized Hölder's theorem on the subject and its \(q\)-analogue generalization are established. It is pointed out that though single multiple gamma functions does not satisfy any differential equation, but there exist differential relations between several multiple gamma functions in some special cases.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00051].
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