Bose-Einstein Distribution

Author

Eric W. Weisstein
May 20, 2003

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Statistics/Bose-EinsteinDistribution.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Bose-EinsteinDistribution.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Integral

Integrate[((k^s)/(Exp[k-μ]-1)),{k,0,∞}]

Exp[μ]Gamma[s+1]LerchPhi[Exp[μ],s+1,1]

FullSimplify[Gamma[1+s] PolyLog[1+s,(E^μ)]-Gamma[1+s] PolyLog[1+s,(E^μ)]]