SumS

Description

SumS[1, m] is the harmonic number [Graphics:Images/index_gr_1.gif] [Graphics:Images/index_gr_2.gif] SumS[1,1,m] is [Graphics:Images/index_gr_3.gif](i)/i. SumS[k,l,m] is [Graphics:Images/index_gr_4.gif]. SumS[r, n] represents Sum[Sign[r]^i/i^Abs[r], {i, 1, n}]. SumS[r,s, n] is Sum[Sign[r]^k/k^Abs[r] Sign[s]^j/j^Abs[s], {k, 1, n}, {j, 1, k}], etc.

[Graphics:Images/index_gr_5.gif]
[Graphics:Images/index_gr_6.gif]

See also: SumP, SumT.

Examples
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[Graphics:Images/index_gr_16.gif]
[Graphics:Images/index_gr_17.gif]
[Graphics:Images/index_gr_18.gif]
[Graphics:Images/index_gr_19.gif]
[Graphics:Images/index_gr_20.gif]
[Graphics:Images/index_gr_21.gif]
[Graphics:Images/index_gr_22.gif]
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[Graphics:Images/index_gr_24.gif]
[Graphics:Images/index_gr_25.gif]
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The FeynCalc Book   previousSumP   nextSumT

Converted from the Mathematica notebook SumS.nb