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

Published: 01 April 1972 Publication History
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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.

    Reference

    [1]
    Kuki, H. Complex gamma function with error control. Comm. ACM 15 (Apr. 1972), 262-267.

    Cited By

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    • (1986)Measurements of absorbed dose distributions in air from low-energy electron point sourcesInternational Journal of Radiation Applications and Instrumentation. Part A. Applied Radiation and Isotopes10.1016/0883-2889(86)90122-X37:4(323-336)Online publication date: Jan-1986
    • (1975)A Comparison of Computational Methods and Algorithms for the Complex Gamma FunctionACM Transactions on Mathematical Software10.1145/355626.3556351:1(56-70)Online publication date: 1-Mar-1975
    • (1972)Complex gamma function with error controlCommunications of the ACM10.1145/361284.36129615:4(262-267)Online publication date: 1-Apr-1972
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    cover image Communications of the ACM
    Communications of the ACM  Volume 15, Issue 4
    April 1972
    70 pages
    ISSN:0001-0782
    EISSN:1557-7317
    DOI:10.1145/361284
    Issue’s Table of Contents
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 01 April 1972
    Published in CACM Volume 15, Issue 4

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    Author Tags

    1. complex gamma function
    2. complex loggamma function
    3. error estimates
    4. gamma function
    5. inherent error control
    6. loggamma function
    7. round-off error control
    8. run-time error estimates
    9. special functions

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    Cited By

    View all
    • (1986)Measurements of absorbed dose distributions in air from low-energy electron point sourcesInternational Journal of Radiation Applications and Instrumentation. Part A. Applied Radiation and Isotopes10.1016/0883-2889(86)90122-X37:4(323-336)Online publication date: Jan-1986
    • (1975)A Comparison of Computational Methods and Algorithms for the Complex Gamma FunctionACM Transactions on Mathematical Software10.1145/355626.3556351:1(56-70)Online publication date: 1-Mar-1975
    • (1972)Complex gamma function with error controlCommunications of the ACM10.1145/361284.36129615:4(262-267)Online publication date: 1-Apr-1972
    • (1972)Programs for computing the logarithm of the gamma function, and the digamma function, for complex argumentComputer Physics Communications10.1016/0010-4655(72)90012-44:2(221-226)Online publication date: Nov-1972

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