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in the book, Legendre polynomials are obtained to the degree 5. Normalize polynomials P4 and P5...

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Advance Math

in the book, Legendre polynomials are obtained to the
degree 5. Normalize polynomials P4 and P5 so that
P4(1) = 1 and p5(1) = 1. This is standard normalization
and these will be standard Legendre polynomials.

Use the recurrence relation for standard Legendrepolynomials
to find two more (standard) Legendre polynomials.
Show your work for credit.


Hint: The recurrence relation:

(n+1) P_{n+1}(x) = (2n+1) P_{n}(x) - n P_{n-1}(x)}

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