Wikipedia:Reference desk/Archives/Mathematics/2008 January 1

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January 1

Special name for special function?

Does this function have a special name? --HappyCamper 23:06, 1 January 2008 (UTC)

$f_{n}(z)=\int _{0}^{\infty }{\frac {x^{n}}{ze^{x}-1}}\,dx$

None that I know of, but it can be expressed as $\Gamma (n+1)\mathrm {Li} _{n+1}\left({\tfrac {1}{z}}\right)$ (see Gamma function, Polylogarithm). -- Meni Rosenfeld (talk) 23:13, 1 January 2008 (UTC)

Oh, I see. Thank you! --HappyCamper 03:57, 2 January 2008 (UTC)