Testwiki: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)

$f_n(z)=\underset{0}{\overset{\mathrm{\infty }}{\int }}\frac{x^n}{z{e}^x-1}dx$

None that I know of, but it can be expressed as $\mathrm{\Gamma }(n+1){\mathrm{L}\mathrm{i}}_{n+1}\left(\frac{1}{z}\right)$ (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)