Two generalized-Euler-constant functions estimated accurately
For x > 0 the generalized-Euler-constant-functions C(x) := Sigma(infinity)(k=1)(1/x + k - ln x + k + 1/x + k) and (C) over tilde (x) := Sigma(infinity)(k=1)(-1)(k+1)(1/x + k - ln x + k + 1/x + k) where C(0) is the Euler-Mascheroni constant and (C) over tilde (0) = ln 4/pi, are estimated accurately.
generalized-euler-constant function estimate alternating series