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    Chapter

    Reduction of Hyperbolic Integrands to Jacobian Elliptic Functions

    In addition to the algebraic or trigonometric forms given in the foregoing sections, elliptic integrals encountered in practical problems may also involve hyperbolic integrands.

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

  2. Chapter

    Erratum

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Chapter

    Elliptic Integrals of the Third Kind

    The incomplete elliptic integral of the third kind in Legendre’s canonical form is defined by <m:math display='block'> <m:mrow> <m:msup> <m:mr...

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Chapter

    Hyperelliptic Integrals

    If <m:math display='block'> <m:mrow> <m:mi>P</m:mi><m:mrow><m:mo>(</m:mo> <m:mi>&#x03C4;</m:mi> <m:mo>)</m:mo></m:mrow><m:mo>=</m:mo><m:msub> <m:mi>a</m:mi> <m:mn>0</m:mn> </m:msub> <m:msup> <m:m...

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Chapter

    Definitions and Fundamental Relations

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Chapter

    Derivatives

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Chapter

    Reduction of Trigonometric Integrands to Jacobian Elliptic Functions

    Various elliptic integrals involving trigonometric integrands occur in many geometrical and physical problems. In order to evaluate a variety of these we again find it convenient to express them in terms of in...

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Chapter

    Expansions in Series

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Chapter

    Table of Integrals of Jacobian Elliptic Functions

    In the foregoing sections, where elliptic integrals having diverse algebraic, trigonometric, and hyperbolic integrands were reduced to those involving elliptic functions, it is seen that certain standard integ...

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Chapter

    Miscellaneous Elliptic Integrals Involving Trigonometric and Hyperbolic Integrands

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Chapter

    Reduction of Algebraic Integrands to Jacobian Elliptic Functions

    The most general elliptic integral encountered in practice may appear in the form 200.00 200.00 <m:math display='block'> <m:mrow> <m:mi>&#x0393;</m:mi><m:mo>=</m:mo><m:mstyle disp...

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1954)

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    Article

    Zur Berechnung von Wirbelverteilung und Auftrieb eines dünnen Unterschallprofils in zwei hintereinander angeordneten Flügelgittern bei kompressiblen Strömungen

    Paul F. Byrd, Mary T. Huggins in Ingenieur-Archiv (1953)

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