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Aleksandr Gamble
12/01/06 00:39am

I have a question about the LaguerreL function in Mathematica. I am working on a notebook that deals with hydrogen wavefunctions. These involve the associated Laguerre polynomials.

My difficulty is that the Laguerre polynomials generated by LaguerreL[n,a,x] do not agree with those tabulated in my Physical Chemistry book. For instance, the book states that

LaguerreL[1,1,x]=-1,

but Mathematica returns

LaguerreL[1,1,x]=2-x

As another example, the book states that

LaguerreL[4,3,x]=-4!(4-x)

but Mathematica returns

LaguerreL[4,3,x]=1/24*(840 - 840*z + 252*z^2 - 28*z^3 + z^4)

Does anybody know what to make of this discrepancy?

Thank you.

Aleksandr

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Subject (listing for 'Associated Laguerre Polynomials')
Author Date Posted
Associated Laguerre Polynomials Aleksandr Ga... 12/01/06 00:39am
Re: Associated Laguerre Polynomials sasha1024 12/02/06 09:05am
Re: Associated Laguerre Polynomials Aleksandr Ga... 12/04/06 11:47pm
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