Symmetrica allows nearly all computations inside the algebra of symmetric functions. You can easily change basis between the different bases of the algebra of symmetric functions. There are also many routines to switch from the symmetric function to the symmetric polynomial via specifying the length of the alphabet. Also generalisations of the symmetric polynomials/functions are available. In Symmetrica for example we have the following routines:

redball Schur functions [try]
redball power sums [try]
redball product of monomial symmetric functions [try]
redball product of Schur functions [try]
redball skew Schur function [try]
redball change of bases
redball Hall Littlewood polynomials [try]
redball plethysm
redball zonal polynomials [try]
redball ........

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symmetrica (at) symmetrica.de

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