Orthogonality relations for Hankel functions

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The discussion focuses on finding and deriving the orthogonality relations for Hankel functions, specifically H^{(1)}_{m}(z) and H^{(2)}_{m}(z), which are defined in terms of Bessel functions. Participants suggest that deriving these relations is similar to deriving properties of Bessel functions. There is a request for guidance on the derivation process. The conversation emphasizes the need for clarity in understanding the relationship between Hankel and Bessel functions. Overall, the thread seeks assistance in mathematical derivations related to these special functions.
Septim
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Where can I find and how can I derive the orthogonality relations for Hankel's functions defined as follows:

H^{(1)}_{m}(z) \equiv J_{n}(z) +i Y_{n}(z)
H^{(2)}_{m}(z) \equiv J_{n}(z) - i Y_{n}(z)

Any help is greatly appreciated.

Thanks
 
So this is basically the same as deriving the bessel function properties right? Can you do that?
 

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