
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.
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
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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