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MathGroup Archive 2003

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Solving recurrence relations in two variables

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40271] Solving recurrence relations in two variables
  • From: Uri Zwick <zwick at tau.ac.il>
  • Date: Fri, 28 Mar 2003 04:33:15 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

DiscreteMath`RSolve` solves univariate recurrence relations.
Is there anything equivalent for bivariate recurrence relations?
For example, is there a Mathematica package that can deduce
from the equations

f[n,k] == f[n-1,k] + f[n-1,k-1]
f[0,0] == 0

that f[n,k] -> Binomial[n,k] , for 0<=k<=n ?

Uri





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