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SFA, a Package on Symmetric Functions Considered as Operators over the Ring of Polynomials for the Computer Algebra System Maple

SFA, a package on symmetric functions considered as operators over the ring of polynomials for the computer algebra system MAPLE
Authors: Prosper, V;

SFA, a Package on Symmetric Functions Considered as Operators over the Ring of Polynomials for the Computer Algebra System Maple

Abstract

SFA package, symmetric functions on different alphabets, gives the possibility to perform formal computations by implementing the structure of \(\Delta\)-ring of symmetric functions viewed as operators. SFA is implemented in Maple. It is similar with Symmetrica and Sym for Macsyma. As an example, a recover procedure is taken for different classical expressions of Lagrange inversion and of Faber polynomials.

Keywords

ring of polynomials, Algebra and Number Theory, Faber polynomials, Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.), Lagrange inversion, Symbolic computation and algebraic computation, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Computational Mathematics, Computation of special functions and constants, construction of tables, Maple, SFA package, Packaged methods for numerical algorithms, symmetric functions, computer algebra

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
hybrid