where is the digamma function and is the gamma function.
Mellin's Formula
See also
Digamma Function, Gamma Function, Infinite ProductExplore with Wolfram|Alpha
References
Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. Higher Transcendental Functions, Vol. 1. New York: Krieger, p. 6, 1981.Referenced on Wolfram|Alpha
Mellin's FormulaCite this as:
Weisstein, Eric W. "Mellin's Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MellinsFormula.html