Namespaces
Variants
Actions

Pseudo-elliptic integral

From Encyclopedia of Mathematics
Revision as of 17:19, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Let be a rational function of two variables and a polynomial of degree three or four, without multiple roots. A pseudo-elliptic integral is an integral of the form

which can be expressed elementarily, that is, by algebraic functions in or in the logarithms of such functions. For example,

is a pseudo-elliptic integral. See Elliptic integral.

How to Cite This Entry:
Pseudo-elliptic integral. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pseudo-elliptic_integral&oldid=29113
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article