(Generating function for Jn) Just as there is a “generating function” for the Legendre polynomials [see (9) in Section[4.4] there is one for the Bessel function . It can be show that
And the left hand side is called the generating function for the Jn’s
Using computer software, differentiate J0(x) and J1(x) and show that the results agree with (8.2).
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