Chebyshev theorem on the integration of binomial differentials
From Encyclopedia of Mathematics
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=35531
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=35531
This article was adapted from an original article by V.I. Bityutskov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article