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The first four hermite polynomials are 1 2t - 2 4t2 and -

Question: The first four Hermite polynomials are 1, 2t, - 2 + 4t², and - 12t + 8t³ These polynomials arise naturally in the study of certain important differential equations in mathematical physics.2 Show that the first four Hermite polynomials form a basis of P₃.

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Mathematics: The first four hermite polynomials are 1 2t - 2 4t2 and -

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Mathematics: The first four hermite polynomials are 1 2t - 2 4t2 and -

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