A continued fraction expansion for a generalization of Dawson's integral

D. Dijkstra

    Research output: Contribution to journalArticleAcademic

    7 Citations (Scopus)
    52 Downloads (Pure)

    Abstract

    A continued fraction expansion for a generalization of Dawson's integral is presented. An exact formula for the truncation error in terms of the confluent hypergeometric function is derived. The expansion is shown to have good convergence properties for both small and large values of the argument.
    Original languageUndefined
    Pages (from-to)503-510
    JournalMathematics of computation
    Volume31
    Issue number138
    DOIs
    Publication statusPublished - 1977

    Keywords

    • Confluent hypergeometric functions
    • Continued fractions
    • IR-75001
    • truncation error

    Cite this

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    title = "A continued fraction expansion for a generalization of Dawson's integral",
    abstract = "A continued fraction expansion for a generalization of Dawson's integral is presented. An exact formula for the truncation error in terms of the confluent hypergeometric function is derived. The expansion is shown to have good convergence properties for both small and large values of the argument.",
    keywords = "Confluent hypergeometric functions, Continued fractions, IR-75001, truncation error",
    author = "D. Dijkstra",
    year = "1977",
    doi = "10.1090/S0025-5718-1977-0460956-3",
    language = "Undefined",
    volume = "31",
    pages = "503--510",
    journal = "Mathematics of computation",
    issn = "0025-5718",
    publisher = "American Mathematical Society",
    number = "138",

    }

    A continued fraction expansion for a generalization of Dawson's integral. / Dijkstra, D.

    In: Mathematics of computation, Vol. 31, No. 138, 1977, p. 503-510.

    Research output: Contribution to journalArticleAcademic

    TY - JOUR

    T1 - A continued fraction expansion for a generalization of Dawson's integral

    AU - Dijkstra, D.

    PY - 1977

    Y1 - 1977

    N2 - A continued fraction expansion for a generalization of Dawson's integral is presented. An exact formula for the truncation error in terms of the confluent hypergeometric function is derived. The expansion is shown to have good convergence properties for both small and large values of the argument.

    AB - A continued fraction expansion for a generalization of Dawson's integral is presented. An exact formula for the truncation error in terms of the confluent hypergeometric function is derived. The expansion is shown to have good convergence properties for both small and large values of the argument.

    KW - Confluent hypergeometric functions

    KW - Continued fractions

    KW - IR-75001

    KW - truncation error

    U2 - 10.1090/S0025-5718-1977-0460956-3

    DO - 10.1090/S0025-5718-1977-0460956-3

    M3 - Article

    VL - 31

    SP - 503

    EP - 510

    JO - Mathematics of computation

    JF - Mathematics of computation

    SN - 0025-5718

    IS - 138

    ER -