MathGroup Archive 2006

[Date Index] [Thread Index] [Author Index]

Search the Archive

Function of function analytic definition


Is there perhaps a mixed functional relation between 'n' th term of
Taylor's Series for f(x0 + h) = f '(n-1)(x0)/(n-1)! and the same
for g(x0 + h) = g '(n-1)(x0)/(n-1)! to obtain/ evaluate 'n' th
term of f( g(x) ) and g( f(x) )?  Is it not possible by using Jacobian
criteria using multi-parameter function definitions available on
Mathematica to find this out? [Subject to of course assumption of
existence, uniqueness, smoothness and other well ordered analytic
functional behaviors of f and g]. Hoping for any related comments.
Somehow this comes to me often, earlier queries did not help clear this
up.  Regards.


  • Prev by Date: Is it a bug in Mathematica ?
  • Next by Date: Re: Difference between the following integrals....
  • Previous by thread: Re: Is it a bug in Mathematica ?
  • Next by thread: Re: Function of function analytic definition