Question

Use the recursion relation (5.8a) and the values of ${\mathbf{P}}_{\mathbf{0}}\mathbf{\left(}\mathbf{x}\mathbf{\right)}$and ${\mathbf{P}}_{\mathbf{1}}\mathbf{\left(}\mathbf{x}\mathbf{\right)}$ to find localid="1664340078504" ${\mathbf{P}}_{\mathbf{2}}\mathbf{\left(}\mathbf{x}\mathbf{\right)}{\mathbf{P}}_{\mathbf{3}}\mathbf{\left(}\mathbf{x}\mathbf{\right)}\mathbf{,}{\mathbf{P}}_{\mathbf{4}}\mathbf{\left(}\mathbf{x}\mathbf{\right)}\mathbf{,}{\mathbf{P}}_{\mathbf{5}}\mathbf{\left(}\mathbf{x}\mathbf{\right)}$, and ${\mathbf{P}}_{\mathbf{6}}\mathbf{\left(}\mathbf{x}\mathbf{\right)}$. [After you have found ${\mathbf{P}}_{\mathbf{3}}\mathbf{\left(}\mathbf{x}\mathbf{\right)}$, use it to find ${\mathbf{P}}_{\mathbf{4}}\mathbf{\left(}\mathbf{x}\mathbf{\right)}$ and so on for the higher order polynomials.]

Short answer

Step-by-step solution

Concept of the recursion relation for the Legendre polynomials

Find P2(x)P3(x),P4(x),P5(x), and P6(x)

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