Legendre Polynomials: Rodriques’ Formula and Recursion ...
where the extra terms introduced by extending the upper limit of the sum from [n/2] to n have zero derivative. By the binomial theorem, this expression is Pn(x) = 1 2nn! d dx n (x2 1)n. (3.16) Jackson next says, “From Rodrigues’ formula it is a straightforward matter” to obtain re- ... 9/28/2015 10:38:30 AM ...
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