ζ′⁡(s,a)=-ln⁡aas⁢(12+as-1)-a1-s(s-1)2+s⁢(s+1)⁢∫0∞B~2⁡(x)⁢ln⁡(x+a)(x+a)s+2⁢ⅆ⁡x-(2⁢s+1)⁢∫0∞B~2⁡(x)(x+a)s+2⁢ⅆ⁡x,