muEC::SYMF::SfDiff – differential operator

Computes the differential operator on symmetric functions

→ Examples

Call:

muEC::SYMF::SfDiff(sf1, sf2)

Parameters:

sf1, sf2

any symmetric functions

Related Functions:

muEC::SYMF::Tos

Details:

The muEC::SYMF::SfDiff function computes math in which math stands for the differential operator corresponding to the symmetric function sf1. Both symmetric functions sf1 and sf2 can be expressed in terms of any known basis since both expressions are converted in terms of Schur functions. One has math, and the operation is extended by bilinearity to any pair sf1, sf2.

The result is a linear combination of Schur functions, and not collected.

Example 1:

muEC::SYMF::SfDiff( s[3,1] + q*s[3], 2*e[2]*p[2] );

math

muEC::SYMF::Tos( 2*e[2]*p[2] );

math

muEC::SYMF::SfDiff( s[4,3,2,1,1], s[4,3,2,1,1] );

math