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A Bug in symbolic summation?

• To: mathgroup at smc.vnet.net
• Subject: [mg113126] A Bug in symbolic summation?
• From: Fancy Airex <aoirex at gmail.com>
• Date: Wed, 13 Oct 2010 23:27:49 -0400 (EDT)

I wish to do a basic symbolic manipulation of two summations.
>      Sum[f[i], {i, 0, m}] - Sum[f[i], {i, 0, j}]

but can't get the expected result
>    Sum[f[i], {i, j+1, m}]


I also tried
>    Sum[f[i], {i, 0, m}] - f[0]

but can't get the expected result
>    Sum[f[i], {i, 1, m}]


Though when I replace m with any definite number everything works
fine.

It seems that Mathematica can't change the minimum/maximum value of
the summation variable i above in symbolic calculation...


I also tried another system, but failed to do such symbolic computation.

Did I miss any point here?


Best,
Rex

• Follow-Ups:
  • Re: A Bug in symbolic summation?
    • From: Christopher Arthur <aarthur@tx.rr.com>