simplify_products SciMax Toolbox simplode

SciMax Toolbox >> simplify_sum

simplify_sum

Maxima Function

Calling Sequence

simplify_sum (expr)

Description

Tries to simplify all sums appearing in expr to a closed form.

simplify_sum uses Gosper and Zeilberger algorithms to simplify sums.

To use this function first load the simplify_sum package with load(simplify_sum).

Example:

(%i1) load("simplify_sum")$
(%i2) sum(binom(n+k,k)/2^k, k, 0, n)
                             + sum(binom(2*n, 2*k), k, 0, n);
         n                            n
        ====                         ====
        \      binomial(n + k, k)    \
(%o2)    >     ------------------ +   >    binomial(2 n, 2 k)
        /               k            /
        ====           2             ====
        k = 0                        k = 0
(%i3) simplify_sum(%);
                               n
                              4     n
(%o3)                         -- + 2
                              2
simplify_products SciMax Toolbox simplode