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Questions on the special mathematical functions implemented in Mathematica.

3 votes
1 answer
110 views

Error in Creating Orthogonal Polynomials

I'm trying to create my own set of polynomials orthogonal to weight $w(x)=x^{14}$ on $[-a,a]$. My code: N1=10; Int0[n_,x_]=Integrate[x*(DUO[n])^2*x^14,x]; Int1[n_,x_]=Integrate[(DUO[n])^2*x^14,x]; DU …
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  • 231
3 votes
1 answer
71 views

Non-Convergence In Creating Legendre Series

I'm trying to use Mathematica to create a Legendre-Fourier series using this Wikipedia article. Here is my code: N1=1; degree=10; Fun=(-(N1^2 x) + (2 N1^2 x ArcTan[10000 N1^2 x])/Pi)/2; Coefs=Constan …
DUO Labs's user avatar
  • 231