degree of a polynomial in Chebyshev form
expression assumed to be a Chebyshev series
Given a polynomial p expressed as a Chebyshev series, determine the degree of the polynomial (i.e. the largest k such that T⁡k,x appears as a basis polynomial).
All Chebyshev basis polynomials T⁡k,x 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 T⁡k,x factor except that if there are terms in the sum containing no T⁡k,x factor then each such term t is interpreted to represent t⁢T⁡0,x (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.
Digits ≔ 3:
a ≔ chebyshev⁡sin⁡x,x:
b ≔ chebyshev⁡cos⁡x,x:
c ≔ a+b
d ≔ a+cj⁢T⁡j,x+ck⁢T⁡k,x
e ≔ 1.2⁢y+cj⁢T⁡j,x+a+ck⁢T⁡k,x
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