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    Properties of Neumann functions

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    Show that For Neumann function of the n'th order:

    N_[-n] = (-1)^n*N_[n]

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    Please see the attached file.

    I used the definition fro the Neumann's function (Bessel's function of the second ...

    Solution Summary

    Expressing Neumann's functions in terms of Bessel's functions leads to the required recursive relations.