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I present corrected values for the Tables IV and V together with an extension of the Tables I-V. I also present an 80D value of my constant F. Unfortunately there were some errors at most in the 10 last decimal places in the values presented in Tables IV and V of our paper [2]. Owing to a very convincing memorandum [3], which was kindly sent to us from Dr. William A. Johnson, I made a recalculation of our presented values. The errors were then revealed. At the same time I decided to extend the Tables I-V up to k = 60 for the Zeta values and thus up to k =¡= 61 for the others. This made it possible to use Eqs. (3.3) and (3.5) also to calculate the values belonging to the sets I2 and I\, respectively. The intervals for x will now be 0 < x < 0.3726, |jc| < 0.3804 and -0.3665 < x < 0. Using the coefficients ak and dk,we may thus compute the value of the Gamma function for any real x to 80D by means of Eqs. (3.3)—(3.5). Using the coefficients ak and the procedure in [1], I could also now produce a value to 80D of my constant F = 2.80777 0242

mathematics of computation

Addendum and corrigendum to: “High-precision values of the gamma function and of some related coefficients” [Math. Comp. 34 (1980), no. 150, 553–566; MR 81f:65004] by Fransén and S. Wrigge