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Question: Can you help me with Bessel functions?

Question:Can you help me with Bessel functions?

M_DEN_M 4 Maple
infinity student
November 27 2007
0
a:=evalf(sum((-1)^n*BesselK(-2*n+1,1)*BesselJ(2*n,-1),n=-infinity..infinity)); a1:=evalf(sum((-1)^n*BesselK(-2*n+1,1)*BesselJ(2*n,-1),n=-100..100)); a := 0.02456830552 a1 := 0.5233322456 Can you undestood me Why a<>a1? And how it calculated in Maple 10? Thank you before!
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