Function Repository Resource:

CoefficientMap

Map a function over the coefficients of a polynomial

Contributed by: Daniel Robinson and Jon McLoone

ResourceFunction["CoefficientMap"][f,p]

maps the function f over the coefficients of polynomial p.

ResourceFunction["CoefficientMap"][f,p,vars]

maps the function f over the coefficients of polynomial p in variables vars.

Examples

Map an arbitrary function over the coefficients of a polynomial:

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Take the square root of the coefficients of a polynomial:

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By default none of the variables identified by Variables will be considered part of the coefficient:

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When specifying the variables of the polynomial using a third arguments, other symbols will be considered part of the coefficient:

In[4]:=

$ResourceFunction["CoefficientMap"][f, 2 x - 4 y x^3, {x}]$

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