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What is the generating function for the generalized Laguerre polynomial?

User Wilbeibi
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Final answer:

The generating function for the generalized Laguerre polynomial can be expressed as (1 - x)^-α e^(x/2) d^n / dx^n (x^(n + α) e^(-x/2))

Step-by-step explanation:

The generating function for the generalized Laguerre polynomial can be expressed as:

Lnα(x) = (1 - x) ex/2 dn / dxn (xn + α e-x/2)

This generating function can be used to find the coefficients of the Laguerre polynomial by expanding it in a Taylor series.

User Collarblind
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