Binomium of Newton. Simplifying expression..

• January 4th 2013, 06:08 AM
Dinkydoe
Binomium of Newton. Simplifying expression..
Heey...i got an expression that very much looks like a binomium- of newton. Not entirely though...

$\sum_{k=0}^n {n\choose k}(-a_0)^k\cdot \frac{t^{2n-k}}{(2n-k)!}$

I was thinking, is there any way to simplify this...? Write it as a power of some function.

Or do i need to accept its not gonna get simpler then this? :P

thank you
• January 4th 2013, 05:50 PM
chiro
Re: Binomium of Newton. Simplifying expression..
Hey Dinkydoe.

You might want to look at this and see if you can fit the parameters to this function:

Hypergeometric function - Wikipedia, the free encyclopedia
• January 4th 2013, 11:44 PM
Dinkydoe
Re: Binomium of Newton. Simplifying expression..
Haha thank u chiro,

maple also said something like this when i said: simplify( ..'expression') = hyper( ) and some parameters. So that tells me its not gonna get much simpler ...:P