Multiple gamma and related functions (Q1855951)
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scientific article; zbMATH DE number 1861314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple gamma and related functions |
scientific article; zbMATH DE number 1861314 |
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Multiple gamma and related functions (English)
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28 January 2003
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The multiple Barnes function \(G_n(z)\) obeys the functional equation \[ G_{n+1}(z+1)=G_n(z)G_{n+1}(z), \] with initial conditions \(G_1(z)=\Gamma(z)\), \(G_n(1)=1.\) In this interesting article, a large number of properties of \(G_2(z)\), \(G_3(z)\) and some related functions are surveyed, and some new formulas are given.
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multiple gamma functions
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Riemann zeta function
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Hurwitz zeta function
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determinants of Laplacians
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Clausen integrals
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series involving zeta function
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0.96828586
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0.9444841
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0.93295985
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0.92982364
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0.92834574
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0.9235322
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