Talk:Neumann polynomial
Add topicLatest comment: 1 year ago by Zeno360 in topic Incorrect Formula for Coefficients
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Incorrect Formula for Coefficients
[edit]The integral for the coefficients a_n is incorrect. The contour integral should be with respect to dt instead of dz, so the factor of (z/2)^alpha is constant with respect to integration. f(z) and O(z) should be replaced with f(t) O(t). You can see the derivation in Chapter 16 (page 524 of the 2nd edition) of Theory of Bessel functions by Watson. Zeno360 (talk) 21:19, 17 October 2024 (UTC)