The first four Laguerre polynomials are 1, 1 - t, 2 - 4t +

Chapter 4, Problem 22E

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The first four Laguerre polynomials are 1, 1 - t, 2 - 4t + t2, and 6 - 18t + 9t2 - t3. Show that these polynomials form a basis of .

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