Evaluating Bessel functions ( e.g. Hankel functions of fisrt and second kind ) in MathCAD

[mnori]

Dear All,

I have plotted the module of Hankel functions of complex arguments and I found an oscillating behaviour. What is the reason of this behaviour? how could be overcome?

[-MFra- · Accepted solution]

[mnori]

How effectively use the scaled functions in order to evaluate an hankel function? The scaled Hankel function must be re-converted to Hankel  functions by using the appropriate scale?

[-MFra-]

My previous answer was a bit rushed having found  a solution to the problem. But I see that even without scaling the graph does not present oscillations.

[mnori]

Thank you F.M.,

I found this:

[-MFra-]

For x <40, there are no oscillations. In my previous statement, I traced the function in that range.

The asymptotic Hankel 1 and 2 expansions  (index l) are: