Namespaces
Variants
Actions

Chebyshev theorem on the integration of binomial differentials

From Encyclopedia of Mathematics
Revision as of 18:23, 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

The indefinite integral of the binomial differential

where and are real numbers and and are rational numbers, cannot be expressed in terms of elementary functions for any and , except in the case where (at least) one of and is an integer. Obtained by P.L. Chebyshev (1853).


Comments

See also Differential binomial.

How to Cite This Entry:
Chebyshev theorem on the integration of binomial differentials. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Chebyshev_theorem_on_the_integration_of_binomial_differentials&oldid=17835
This article was adapted from an original article by V.I. Bityutskov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article