Add ample testing from Abramowitz and Stegun to all Polynomials

miguelraz / OrthogonalPolynomials.jl

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Add ample testing from Abramowitz and Stegun to all Polynomials #5

Open miguelraz opened 6 years ago

miguelraz commented 6 years ago

In the test directory, include code function values of different polynomials as tests to verify answers are correct. I have yet to find a more efficient method than copy pasting the pdf archives and manually checking each one.

[ ] Legendre
[ ] Tshebyshev
[ ] Ultraspherical
[ ] Tshebyshev of the second kind
[ ] Gegenbauer
[ ] Laguerre
[ ] Hermite

dlfivefifty commented 6 years ago

You should use the more modern DLMF which replaces Abramowitz & Stegun: https://dlmf.nist.gov

miguelraz commented 6 years ago

@dlfivefifty thank you for chiming in and welcome! I will update as I implement more coverage, but unless I've missed something, I don't believe I can find tables of values for the Orthogonal Polynomials in the DLMF that don't refer back to the A&S Tables -- though there are tables of zeros which we could consider adding in the future.

dlfivefifty commented 6 years ago

Ah, you are actually using tables. Then A&S it is