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Mathematics, 09.04.2020 05:00, twitter505567
(a) The first four Hermite polynomials are 1,2t,โ2+4t2, and โ12t+8t3. These polynomials arise naturally in the study of certain important differential equations in mathematical physics. Show that the first four Hermite polynomials form a basis of P3.(b) The first four Laguerre polynomials are 1,1โt,2โ4t+t2, and 6โ18t+9t2โt3. Show that these four Laguerre polynomials form a basis of P3.
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(a) The first four Hermite polynomials are 1,2t,โ2+4t2, and โ12t+8t3. These polynomials arise natura...
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