Category:Laguerre Polynomials
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This category contains results about Laguerre Polynomials.
Definitions specific to this category can be found in Definitions/Laguerre Polynomials.
The Laguerre polynomials are the solutions to Laguerre's differential equation:
- $x \dfrac {\d^2 y} {\d x^2} + \paren {1 - x} \dfrac {\d y} {\d x} + \alpha y = 0$
for $\alpha = n$.
They are of the form:
- $\map {L_n} x = e^x \map {\dfrac {\d^n} {\d x^n} } {x^n e^{-x} }$
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