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Special function

  1. Mar 24, 2014 #1
    I'm looking for a function which has a behavior r^2 near zero and approaching fast to zero when r tends to infinity. Thanks for any hints.
     
  2. jcsd
  3. Mar 24, 2014 #2
    Multiply two functions together where one behaves like ##r^2## near zero (how about ##r^2##) and the other behaves like 1 near zero and decays to zero more quickly than ##r^2## increases. After you get the basic second function you can manipulated it to make the product of the two functions fit other constraints you have.
     
  4. Mar 24, 2014 #3

    AlephZero

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    You want to pick the "second function" to make life easy for whatever you are doing. There are plenty of options, like
    $$\frac{r^2}{1 + r^3}, \quad r^2 e^{-r}, \quad \text{etc.}$$
     
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