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orthopoly

  

T

  

Chebyshev polynomial (of the first kind)

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

T(n, x)

Parameters

n

-

non-negative integer

x

-

algebraic expression

Description

• 

The T(n, x) function computes the nth Chebyshev polynomial of the first kind evaluated at x.

• 

These polynomials are orthogonal on the interval () with respect to the weight function . They satisfy:

• 

Chebyshev polynomials of the first kind satisfy the following recurrence relation:

Examples

(1)

(2)

(3)

See Also

ChebyshevT

LambertW

numapprox[chebyshev]

 


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