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H. Kuki (1972)
Algorithm 421: complex gamma function with error control [S14]Communications of The ACM, 15
Y. Luke (1970)
Evaluation of the Gamma Function by Means of Padé ApproximationsSiam Journal on Mathematical Analysis, 1
H. Kuki (1972)
Complex Gamma Function with Error Control [S14] (Algorithm 421)Commun. ACM, 15
(1970)
Mathematical function subprograms for basic system libraries: objectives, constraints, and trade-off
(1967)
Review of SDA 3230
An algorithm to compute the gamma function and the loggamma function of a complex variable is presented. The standard algorithm is modified in several respects to insure the continuity of the function value and to reduce accumulation of round-off errors. In addition to computation of function values, this algorithm includes an object-time estimation of round-off errors. Experimental data with regard to the effectiveness of this error control are presented. A Fortran program for the algorithm appears in the algorithms section of this issue.
Communications of the ACM – Association for Computing Machinery
Published: Apr 1, 1972
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