The function call LeadingCoefficient(p,v,R) returns the leading coefficient of p regarded as a univariate polynomial in v. If p does not depend on v then the function call returns p.

The function call LeadingCoefficient(L,v,R) returns the list or the set of the leading coefficients of the elements of L with respect to v.

If ideal is a regular differential chain, the function call LeadingCoefficient(ideal,v) returns the list of the leading coefficients of the chain elements. If ideal is a list of regular differential chains, the function call LeadingCoefficient(ideal,v) returns a list of lists of leading coefficients.

When the parameter v is omitted, it is understood to be the leading derivative of each processed differential polynomial. In that case, the function behaves as the Initial function.

This command is part of the DifferentialAlgebra:-Tools package. It can be called using the form LeadingCoefficient(...) after executing the command with(DifferentialAlgebra:-Tools). It can also be directly called using the form DifferentialAlgebra[Tools][LeadingCoefficient](...).

The opts arguments may contain one or more of the options below.

fullset = boolean. In the case of the function call LeadingCoefficient(ideal,v), applies the function also over the differential polynomials which state that the derivatives of the parameters are zero. Default value is false.

notation = jet, tjet, diff or Diff. Specifies the notation used for the result of the function call. If not specified, the notation of the first argument is used.

memout = nonnegative. Specifies a memory limit, in MB, for the computation. Default is zero (no memory out).