In a neighbourhood of s = 1, the Hurwitz zeta function (s, α) has the Laurent expansion in powers of s - [formula omitted] where the quantity γn(α) is the generalized Stieltjes constant. A number of results about the generalized Stieltjes constants are proved.

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Journal Analysis
Nan-Yue, Z. (Zhang), & Williams, K.S. (1994). Some results on the generalized stieltjes constants. Analysis, 14(2-3), 147–162. doi:10.1524/anly.1994.14.23.147