elementary function


  • Consequently, the polynomial functions, the absolute valueMathworldPlanetmathPlanetmathPlanetmath|x|=x2,  the triangular-wave functionarcsin(sinx), the power functionDlmfDlmfPlanetmathxπ=eπlnx  and the functionxx=exlnx  are elementary functions (N.B., the real power functions entail that  x>0).

  • ζ(x):=n=11nx  and  Lix:=2xdtlnt  are not elementary functions — it may be shown that they can not be expressed is such a way which is required in the definition.

Title elementary function
Canonical name ElementaryFunction
Date of creation 2013-03-22 14:46:29
Last modified on 2013-03-22 14:46:29
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 18
Author pahio (2872)
Entry type Definition
Classification msc 26A99
Related topic RiemannZetaFunction
Related topic LogarithmicIntegral
Related topic AlgebraicFunction
Related topic TableOfMittagLefflerPartialFractionExpansions