Complex Gamma Function with Error Control

An algorithm to compute the gamma function and
log gamma 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.

CACM April, 1972

Kuki, H.

complex gamma function, gamma function, complex
log gamma function, loggamma function, round-off 
error control, inherent error control, run-time error estimates, error estimates

5.11 5.12

CA720407 JB January 31, 1978  12:59 PM

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