Gosper’s Algorithm and Accurate Summation as Definite Summation Tools

نویسندگان

  • S. A. Abramov
  • M. Petkovšek
چکیده

Sufficient conditions are given for validity of the discrete Newton-Leibniz formula when the indefinite sum is obtained either by Gosper’s algorithm or by Accurate Summation algorithm. It is shown that sometimes a polynomial can be factored from the summand in such a way that the safe summation range is inreased.

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تاریخ انتشار 2005