PochhammerBasis
Pochhammer polynomials based at a point
Calling Sequence
Parameters
Description
Examples
PochhammerBasis(k, a, x)
k
-
algebraic expression; the index
a
algebraic expression; the starting point
x
algebraic expression; the argument
defines the th Pochhammer polynomial of degree . The degree of the th Pochhammer polynomial is .
At present, this can only be evaluated in Maple by prior use of the object-oriented representation obtained by P:=convert(p,MatrixPolynomialObject,x) and subsequent call to P:-Value(<x-value>) , which uses Horner's method to evaluate the polynomial p.
This is in effect a NewtonBasis polynomial expression on the nodes , , and .
Note that the result returned by represents a matrix polynomial; hence these results are 1 by 1 matrices.
See Also
BernsteinBasis
convert/MatrixPolynomialObject
LagrangeBasis
LinearAlgebra[CompanionMatrix]
NewtonBasis
OrthogonalSeries
type/MatrixPolynomialObject
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