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Chebyshev_t

Function: chebyshev_t (<n>, <x>) The Chebyshev function of the first kind.

H_oper(f):= diff(diff(f, x), x) - (x*x+1) * f;
-integrate(chebyshev_t(2,x) * H_oper(chebyshev_t(0,x)) * w, x, -1, 1);

Reference: Abramowitz and Stegun, equation 22.5.47, page 779.

(%o1)                                true
(%i2) 

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