MathGroup Archive 2008

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

Search the Archive

How to simplify this expression?

  • To: mathgroup at
  • Subject: [mg93640] How to simplify this expression?
  • From: Barrow <GRseminar at>
  • Date: Wed, 19 Nov 2008 05:40:37 -0500 (EST)

Dear all,

In my study of physics, I met this expression,

fm = Sum[(-1)^j Binomial[2m,j+m] (StirlingS1[j+m-1,j] + StirlingS1[j
+m-1,j-1]) , {j,1,m}];

This probably can be simplified to (2m-1)!! for m > 1.
However, I tried Simplify or FullSimplify, it didn't works.
But, numerically, I tried m = 2 to m = 400, this identity is correct!
Is there any method to make Mathematica check this identity
Any help will be appreciated. Thanks!


  • Prev by Date: RE: List of Month Names
  • Next by Date: Re: Creating a Banner for presentation
  • Previous by thread: Re: Export movie from MathKernel along
  • Next by thread: Problem with CellPrint