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  1. No Access

    Chapter

    Elliptic Integrals Resulting from Laplace Transformations

    Finding the Laplace transform1 of products of Bessel functions2 often leads to the evaluation of elliptic integrals. We shall give here, however, only a short table of such integrals.

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  2. No Access

    Book

    Handbook of Elliptic Integrals for Engineers and Scientists

    Paul F. Byrd, Morris D. Friedman in Die Grundlehren der mathematischen Wissenschaften (1971)

  3. No Access

    Chapter

    Miscellaneous Integrals and Formulas

    While most of the integrals in the previous sections have at least one variable upper limit, both of the limits of integration of the integrals given here are fixed.

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  4. No Access

    Chapter

    Miscellaneous Elliptic Integrals Involving Trigonometric and Hyperbolic Integrands

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  5. No Access

    Chapter

    Introduction

    Integrals of the form \( \int {R\left[ {t,\sqrt {{P\left( t \right)}} } \right]} dt \) , where P(t) is a polynomial of the thir...

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  6. No Access

    Chapter

    Hyperelliptic Integrals

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  7. No Access

    Chapter

    Reduction of Hyperbolic Integrands to Jacobian Elliptic Functions

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  8. No Access

    Chapter

    Derivatives

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  9. No Access

    Chapter

    Elliptic Integrals of the Third Kind

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  10. No Access

    Chapter

    Expansions in Series

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  11. No Access

    Chapter

    Definitions and Fundamental Relations

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  12. No Access

    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… (1971)

  13. No Access

    Chapter

    Integrals of the Elliptic Integrals

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)

  14. No Access

    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… (1971)

  15. No Access

    Chapter

    Reduction of Algebraic Integrands to Jacobian Elliptic Functions

    Paul F. Byrd, Morris D. Friedman in Handbook of Elliptic Integrals for Enginee… (1971)