Complex gamma function with error control

Authors:
Hirondo Kuki
Affiliations:
Univ. of Chicago, Chicago, IL
Venue:
Communications of the ACM
Year:
1972

Citing 2
Cited 2

Algorithm 421: complex gamma function with error control [S14]

Communications of the ACM
Computer Approximations

Computer Approximations

Algorithm 421: complex gamma function with error control [S14]

Communications of the ACM
Algorithm 877: A Subroutine Package for Cylindrical Functions of Complex Order and Nonnegative Argument

ACM Transactions on Mathematical Software (TOMS)

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Abstract

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.