Chebyshev theorem on the integration of binomial differentials
From Encyclopedia of Mathematics
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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://encyclopediaofmath.org/index.php?title=Chebyshev_theorem_on_the_integration_of_binomial_differentials&oldid=17835
Chebyshev theorem on the integration of binomial differentials. Encyclopedia of Mathematics. URL: http://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