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Bessel Limit Bug

edgar 669 Maple
September 07 2012
0

I guess there is a limit bug here somewhere.  With MultiSeries things are OK...

L:=(x*BesselI(k-1, x)+x*BesselI(k+1, x))*BesselI(-k, x);
L := (x BesselI(k - 1, x) + x BesselI(k + 1, x)) BesselI(-k, x)
simplify(limit(L,x=0)) assuming k>0;
                               0
with(MultiSeries):
simplify(limit(L,x=0)) assuming k>0;
                          2 sin(Pi k)
                          -----------
                              Pi

BesselLimit.mw

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G A Edgar
limit bessel

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