Services & Resources / Wolfram Forums / MathGroup Archive

MathGroup Archive 2010

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

Search the Archive

proof of recursion

  • To: mathgroup at
  • Subject: [mg112244] proof of recursion
  • From: Magdalena Moczydlowska <magdamoczydlowska at>
  • Date: Mon, 6 Sep 2010 04:15:53 -0400 (EDT)

Good evening!

I have a big problem with proving the equivalence of two formulas. I
tried an induction but without success :

1) S_{m}(z)=(1/z)* \sum_{k=0}^{m-1} ( S_{k}(z)/(m-k)) where S_{0}

2) S_{m}(z)=S(z)/(m!z^{m+1}) \sum _{k=1}^{m} (k! S(m,k) z^{m-k})

where S(m,k) is a Stirling number of a first type.

I will be grateful for your suggestion.


  • Prev by Date: Re: <Null> while building lists
  • Next by Date: Help with differential equation
  • Previous by thread: Re: Finite Groups...infinite disappoinment
  • Next by thread: Help with differential equation