Concept information
Preferred term
Liouvillian function
Definition
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In mathematics, the Liouvillian functions comprise a set of functions including the elementary functions and their repeated integrals. Liouvillian functions can be recursively defined as integrals of other Liouvillian functions.
More explicitly, a Liouvillian function is a function of one variable which is the composition of a finite number of arithmetic operations (+, −, ×, ÷), exponentials, constants, solutions of algebraic equations (a generalization of nth roots), and antiderivatives. The logarithm function does not need to be explicitly included since it is the integral of 1/x.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Liouvillian_function)
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-TT84D1VH-3
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