Wednesday, February 17, 2010

The On-Line Encyclopedia of Integer Sequences

In my research I found extremely useful the On-Line Encyclopedia of Integer Sequences

     http://www.research.att.com/~njas/sequences/

Here are some of my observations
  1. when you lost any hope to find one mathematician that understand something about your particular function you may find him here. Just find a sequence (like A120362) and then look for the author!
  2. the main of this encyclopedia is that you'll get immediate and exact formula for the expansion, so you just insert it into you favorite math program and thats it!
  3. you get refs and discussion about this particular function its representations, converges problem and complex variants
So, let me take A120362:  Numerators of bivariate Taylor expansion of the incomplete elliptic integral of the second kind. We get immediately the expansion
where
and

for

So, hope the project will exist and advance!

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