Generalized Stieltjes constants $\gamma$ n (a) are the coecients in the Laurent series for the Hurwitz-zeta function $\zeta$(s, a) at the pole s = 1. Many authors proved formulas for these constants. In this paper, using a recurrence between ($\zeta$(s + j, a)) j and proved by the author, we prove a general result which contains some of these formulas as particular cases.

翻译：广义斯蒂尔杰斯常数 $\gamma_n(a)$ 是赫尔维茨ζ函数 $\zeta(s,a)$ 在极点 $s=1$ 处洛朗展开式的系数。众多学者已推导出这些常数的表达式。本文利用作者先前证明的关于 $(\zeta(s+j,a))_j$ 的递推关系，证明了一个包含上述部分表达式作为特例的通用结果。