MHB What is Associated Legendre polynomials

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Associated Legendre polynomials are a generalization of Legendre polynomials, differing primarily in their dependence on two parameters, the degree and order. They are defined for integer values of the degree and can take on non-zero orders, which distinguishes them from standard Legendre polynomials that only have a single parameter. The relationship between the two is evident when the order is set to zero, where Associated Legendre polynomials reduce to Legendre polynomials. For a deeper understanding, consulting detailed resources like Wikipedia is recommended. Understanding these distinctions is crucial for applications in physics and engineering.
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hey
i have doubt about Legendre polynomials and Associated Legendre polynomials
what is Associated Legendre polynomials ?
It different with Legendre polynomials ?
 
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