Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2007
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2007

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

Search the Archive

Re: Mellin Transform

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81582] Re: Mellin Transform
  • From: chuck009 <dmilioto at comcast.com>
  • Date: Fri, 28 Sep 2007 02:13:23 -0400 (EDT)

Then I'd numerically integrate the transform to recover the function (don't forget the i):

fhat[x_] := (1/(2*Pi*I))*NIntegrate[
       I*((Gamma[z]*Sin[Pi*(z/2)])/x^z) /. 
         z -> 0.2 + I*y, {y, -100, 100}]
stable = Table[{x, fhat[x]}, 
     {x, 0.001, 2*Pi, 0.1}]
ListPlot[stable]

Pretty close for my money :)


> 
> Could use the definition as an integral.
> 
> http://mathworld.wolfram.com/MellinTransform.html
> 
> In[1]:= mellinTransform[f_,z_] :=
>    Integrate[f[t]*t^(z-1), {t,0,Infinity}]
>


  • Prev by Date: CompleteCharacters Palette in v6?
  • Next by Date: bug in sort?
  • Previous by thread: Re: Mellin Transform
  • Next by thread: Bug in Show