文摘
We present several series and product representations for γ, π, and other mathematical constants. One of our results states that, for all real numbers ¦Ì s>0, we have $
\gamma = \sum\limits_{k = 0}^\infty {\frac{1}
{{(1 + \mu )^{k + 1} }}\sum\limits_{m = 0}^k {\left( {_m^k } \right)} \left( { - 1} \right)^m \mu ^{k - m} S(m),}
$
\gamma = \sum\limits_{k = 0}^\infty {\frac{1}
{{(1 + \mu )^{k + 1} }}\sum\limits_{m = 0}^k {\left( {_m^k } \right)} \left( { - 1} \right)^m \mu ^{k - m} S(m),}