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Question: please help me to evaluate this integration

Question:please help me to evaluate this integration

shimaa sadk 50 Maple 18
integration sum numeric
May 25 2020
2


 

``

> 

lambda := .3:
> 

omega := lambda+mu+xi:
> 

alpha := 2*sqrt(lambda*mu)

.9165151390

 (1)
> 

``
> 

B[1] := BesselI(k-1, alpha*(u-y))

BesselI(k-1, .9165151390-.9165151390*y)

 (2)
> 

B[2] := BesselI(k+1, alpha*(u-y))

BesselI(k+1, .9165151390-.9165151390*y)

 (3)
> 

``
> 

F := evalf(Int(sum((B[1]-B[2])*exp(-omega*(u-y)), k = 1 .. infinity), y = 0 .. u))

Int(sum((BesselI(k-1., .9165151390-.9165151390*y)-1.*BesselI(k+1., .9165151390-.9165151390*y))*exp(-1.200000000+1.200000000*y), k = 1 .. infinity), y = 0. .. 1.)

 (4)
> 

``
> 

``

``


 

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