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MathGroup Archive 1996

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Symbolic Sum or Sum???

  • To: mathgroup at
  • Subject: [mg4256] Symbolic Sum or Sum???
  • From: am4a056 at (Rene Garizzao)
  • Date: Sun, 23 Jun 1996 03:08:46 -0400
  • Organization: University of Hamburg -- Germany
  • Sender: owner-wri-mathgroup at

Actually I have a problem for solving a double sum whose limits are
running from ( - Infinity ) to ( + Infinity ). I attempted this sum
in several ways without a satisfactory result:

1-Attempt) :     


F[x0_,y0_, N_, M_,n_,m_]:= 1/((x0 + n N)^2 + (y0 + m M)^2)^(3/2)

SymbolicSum[F[x0,y0,N,M,n,m] , {m,Infinity}, {n,Infinity} ]


NSum[ F[1,0,3,3,n,m] , {m,-infinity,Infinity}, 
                               {n,-Infinity,Infinity} ]

S[k_]:= NSum[ F[1,0,3,3,n,m] , {m,-k,k}, {n,-k,k} ]

None of this this forma could bring me further in the solution of

I thank you in advance for any help you can provide me.


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