Euler-Mascheroni Integrals

Author

Eric W. Weisstein
February 24, 2007

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/Euler-MascheroniIntegrals.nb.

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

©2007 Wolfram Research, Inc. except for portions noted otherwise

Integral

(-1)^n Integrate[Log[z]^n Exp[-z],{z,0,∞}]

Gamma Derivative

Table[(-1)^n Derivative[n][Gamma][1],{n,0,5}]

Table[(-1)^n Derivative[n][Gamma][1],{n,0,5}]//FullSimplify//ColumnForm//TraditionalForm