Particularly Well-Behaved Functions

Functions which have derivatives of all orders at all points and which, together with their derivatives, fall off at least as rapidly as |x|^(-n) as |x|->infty, no matter how large n is.

See also

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Particularly Well-Behaved Functions." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ParticularlyWell-BehavedFunctions.html

Subject classifications