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Question: Legendre polynomials

Question:Legendre polynomials

Karel Srot 216 Maple
example integral
November 19 2006
0
Hello, I would like to do some computations with Legendre polynomials. I would like to know, if Maple is able to do some simplifications and use orthogonality of Legendre polynomials. For example > Int(LegendreP(m,x)*LegendreP(n, x), x=-1..1); This integral should be zero or 2/(2*n+1), depending on the relation between m and n. Is there any chance to get it (maybe using the procedure assume() )? another example: > diff(LegendreP(n,x), x$n); This should be (2*n)! Thank you very much for your help. Karel Srot
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