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Pseudo-elliptic integral

From Encyclopedia of Mathematics
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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=16948
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article