(-1)k⁢ζ(k)⁡(s,a)=(ln⁡a)kas⁢(12+as-1)+k!⁢a1-s⁢∑r=0k-1(ln⁡a)rr!⁢(s-1)k-r+1-s⁢(s+1)⁢∫0∞B~2⁡(x)⁢(ln⁡(x+a))k(x+a)s+2⁢ⅆ⁡x+k⁢(2⁢s+1)⁢∫0∞B~2⁡(x)⁢(ln⁡(x+a))k-1(x+a)s+2⁢ⅆ⁡x-k⁢(k-1)⁢∫0∞B~2⁡(x)⁢(ln⁡(x+a))k-2(x+a)s+2⁢ⅆ⁡x,