Relation To Hermite Polynomials
The generalized Laguerre polynomials are related to the Hermite polynomials:
and
where the Hn(x) are the Hermite polynomials based on the weighting function exp(−x2), the so-called "physicist's version."
Because of this, the generalized Laguerre polynomials arise in the treatment of the quantum harmonic oscillator.
Read more about this topic: Laguerre Polynomials
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