Mellin's Formula

Author

Eric W. Weisstein
November 9, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/MellinsFormula.nb.

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

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

Analytic

(∏_(n=0)^∞)((y/(n+x))+1) exp(-(y/(n+x)))==(((Gamma[x]) (e^(y (PolyGamma2[0, x]))))/(Gamma[x+y]))

Product[(1+(y/(n+x)))Exp[-y/(n+x)],{n,0,∞}]