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Question: LerchPhi & polylog

Question:LerchPhi & polylog

longrob 1409 Maple
convert integer student
February 05 2010
0
Greetings all restart; f := x->x^4: assume(n::integer): an := 1/Pi*int(f(x)*cos(n*x),x=-Pi..Pi): FaN1 := sum(an*cos(n*x),n=1..N); FaN2 := Sum(an*cos(n*x),n=1..N); On Maple 13, FaN1 and FaN2 are very different representations of this series. However, on Maple 11 they are the same (same as FN2 on Maple 13). How can I persuade Maple 13 to convert FaN2 to FaN1 ? Also, how can I persuade Maple 11 to convert aFN1 to FaN2 ?
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