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The Maxima on-line user's manual

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Chebyshev_t

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

ratsimp(chebyshev_t(6,x)/2^5);
ratsimp(x^6-(chebyshev_t(6,x))/2^5);
plot2d([(chebyshev_t(6,x))/2^5,x^6,x^6-(chebyshev_t(6,x))/2^5],[x,-1,1],[y,-0.2,0.2],[legend,Tst,p(x),q(x)]);

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

(%o1)                                true
(%i2) 

Related Examples

chebyshev_t-do-mod

/* input numbers k an...

n:4;

(s:2*chebyshev_t(k,3)...

Calculate

chebyshev_t-do-mod

/* input numbers k an...

n:248;

(s:2*chebyshev_t(k,3)...

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chebyshev_t

? chebyshev_t;

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chebyshev_t

chebyshev_t(4, x);

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chebyshev_t-plot2d
plot2d(chebyshev_t(2,x),[x,-1,1]);

plot2d(chebyshev_t(2,...

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chebyshev_t-do-mod

/* input numbers k an...

n:248;

(s:2*chebyshev_t(k,3)...

Calculate

chebyshev_t-expand-horner

g(x):= 0.11* chebyshe...

horner(g(x), x);

expand(g(x));

Calculate

chebyshev_t-expand-horner-orthopoly_weight

g(x):= 0.11* chebyshe...

horner(g(x), x);

expand(g(x));

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chebyshev_t-do

/* n>2 ,k>0 , k...

n:12;

(s:2*chebyshev_t(3*k...

Calculate

chebyshev_t

chebyshev_t(4, x);

Calculate