chebdeg - Maple Help
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numapprox

  

chebdeg

  

degree of a polynomial in Chebyshev form

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

chebdeg(p)

Parameters

p

-

expression assumed to be a Chebyshev series

Description

• 

Given a polynomial p expressed as a Chebyshev series, determine the degree of the polynomial (i.e. the largest k such that  appears as a basis polynomial).

• 

All Chebyshev basis polynomials  which appear must have the same second argument x (which can be any expression).

• 

The input polynomial must be in expanded form (i.e. a sum of products). Normally, each term in the sum contains one and only one  factor except that if there are terms in the sum containing no  factor then each such term t is interpreted to represent  (i.e. it is assumed to be a term of degree 0).

• 

The command with(numapprox,chebdeg) allows the use of the abbreviated form of this command.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

See Also

numapprox[chebsort]

numapprox[chebyshev]

orthopoly[T]

 


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