Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

    You want to pick the "second function" to make life easy for whatever you are doing. There are plenty of options, like
    $$\frac{r^2}{1 + r^3}, \quad r^2 e^{-r}, \quad \text{etc.}$$
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook