# Question: Better implementation of numeric integration containing HeunG functions

February 01 2013 by
false
Maple 16

0

I have added a .mw file showing the problem. I wish to calculate the integral at the bottom of the post. unfortunately the function im using defined at he beginning of the file doesnt behave well for values k larger than 25/30...

The integral I need to evaluate therefore cant be evaluated if one wants to integrate from 0 to Infinity.

Also just integrating till 20 or so is not accurate enough...

Has anybody an idea about better implementation of the problem.mapleprimes.mw

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I wish to calculate the integral

or maybe more maple conform after partial integrating and resumming (delta+Pi/2) in the first and second term in order to be finite

neglecting the first term of partial integration

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