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How can I do the derivative of a Hankel function with respect to complex order (nu)?

scintific1 math
Posted 1 day ago

Hi, I want to calculate the derivative of a function d(nu), where the derivative should be taken with respect to the order, and the order of this function is a complex number. Can anybody tell me the formula for this derivative? how can I do it in Wolfram?enter image description here
POSTED BY: scintific1 math
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Mathematica can compute. My code working with complex nu.

POSTED BY: Mariusz Iwaniuk

Thanks for your reply, But Bessel J or BesselH only works for simple number, not for complex nu , so your code is working in mathmetica for complex nu ?
POSTED BY: scintific1 math

An example:

POSTED BY: Mariusz Iwaniuk

Very interesting. Wikipedia has a lot to say.

POSTED BY: Paul Shapshak, PhD
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