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Algorithm 421: complex gamma function with error control [S14]
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Source
Communications of the ACM archive
Volume 15 ,  Issue 4  (April 1972) table of contents
Pages: 271 - 272  
Year of Publication: 1972
ISSN:0001-0782
Author
Hirondo Kuki  Univ. of Chicago, Chicago, IL
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 10,   Downloads (12 Months): 35,   Citation Count: 2
Additional Information:

abstract   references   cited by   index terms   collaborative colleagues  

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ABSTRACT

This Fortran program computes either the gamma function or the loggamma function of a complex variable in double precision. In addition, it provides an error estimate of the computed answer. The calling sequences are: CALL CDLGAM (Z, W, E, 0) for the loggamma, and CALL CDLGAM (Z, W, E, 1) for the gamma, where Z is the double precision complex argument, W is the answer of the same type, and E is a single precision real variable. Before the call, the value of E is an estimate of the error in Z, and after the call, it is an estimate of the error in W.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

1
Hirondo Kuki, Complex gamma function with error control, Communications of the ACM, v.15 n.4, p.262-267, April 1972  [doi>10.1145/361284.361296]

CITED BY  2
Edward W. Ng, A Comparison of Computational Methods and Algorithms for the Complex Gamma Function, ACM Transactions on Mathematical Software (TOMS), v.1 n.1, p.56-70, March 1975
Hirondo Kuki, Complex gamma function with error control, Communications of the ACM, v.15 n.4, p.262-267, April 1972

INDEX TERMS

Keywords:
complex gamma function, complex loggamma function, error estimates, gamma function, inherent error control, loggamma function, round-off error control, run-time error estimates, special functions

Collaborative Colleagues:
Hirondo Kuki: colleagues

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