Advertisement

Hyperelliptic Integrals

  • Paul F. Byrd
  • Morris D. Friedman
Part of the Die Grundlehren der Mathematischen Wissenschaften book series (GL, volume 67)

Abstract

If and is a rational function of τ and of ,the general integral1
(575.00)
is called a hyperelliptic integral when n is greater than four. If the degree of P(τ) is equal to 2p+ 2, one can always obtain by means of a rational transformation (e.g., τ =r 1 +1/t) an equivalent integral in which the radicand is of degree 2p +1.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. 1.
    See H. Lenz: Zurückführung einiger Integrale auf einfachere. Sitzungsberichte der Bayerischen Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse, No. 10, 1951, pp. 73 - 80.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1954

Authors and Affiliations

  • Paul F. Byrd
    • 1
  • Morris D. Friedman
    • 2
  1. 1.National Advisory Committee For Aeronautics (U.S.A.)Fisk UniversityPalo AltoUSA
  2. 2.National Advisory Committee For Aeronautics (U.S.A.)USA

Personalised recommendations