For a positive integer ,
Gauss Multiplication Formula
See also
Gamma Function, Legendre Duplication Formula, Polygamma FunctionExplore with Wolfram|Alpha
References
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 256, 1972.Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. Higher Transcendental Functions, Vol. 1. New York: Krieger, pp. 4-5, 1981.Referenced on Wolfram|Alpha
Gauss Multiplication FormulaCite this as:
Weisstein, Eric W. "Gauss Multiplication Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GaussMultiplicationFormula.html