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Angelo Melino

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Why can't Maple evaluate this integral n...

Angelo Melino 45 Maple 2019
integration numeric
November 06 2019
1 4


I'm trying to evaluate an integral, but after several hours, MAPLE 2019 is unable to return an answer.  My CPU and memory are not being taxed, and the integrand appears well behaved.  Please see below. Any advice?

restart

istar := y*sinh(Pi*y)*exp(-alpha*y^2)*LegendreP(-1/2+I*y, 1+u)

y*sinh(Pi*y)*exp(-alpha*y^2)*LegendreP(-1/2+I*y, 1+u)

 (1)

Istar := `assuming`([int(istar, y = 0 .. infinity)], [alpha > 0, u > 0])

int(y*sinh(Pi*y)*exp(-alpha*y^2)*LegendreP(-1/2+I*y, 1+u), y = 0 .. infinity)

 (2)

alpha := 1; u := 2

2

 (3)

plot(istar, y = 0 .. 40)

  

evalf(Istar)

``


 

Download Istar.mw

 

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