Pseudo-elliptic integral
From Encyclopedia of Mathematics
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
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