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Mathematics, 05.05.2020 15:03 ava4460
(a) The first four Hermite polynomials are 1,2t,β2+4t2, and β12t+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 1,1βt,2β4t+t2, and 6β18t+9t2βt3. Show that these four Laguerre polynomials form a basis of P3.
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(a) The first four Hermite polynomials are 1,2t,β2+4t2, and β12t+8t3. These polynomials arise natura...
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