New Classes of Degenerate Unified Polynomials

Generating New Classes of Orthogonal Polynomials

Finiteness for Degenerate Polynomials

Let MPd denote the space of polynomials f : C → C of degree d ≥ 2, modulo conjugation by Aut(C). Using properties of polynomial trees (as introduced in [DM]), we show that if fn is a divergent sequence of polynomials in MPd, then any subsequential limit of the measures of maximal entropy m(fn) will have finite support. With similar techniques, we observe that the iteration maps {MPd 99K MPdn : ...

Symmetry classes of polynomials associated with the dihedral group

‎In this paper‎, ‎we obtain the dimensions of symmetry classes of polynomials associated with‎ ‎the irreducible characters of the dihedral group as a subgroup of‎ ‎the full symmetric group‎. ‎Then we discuss the existence of o-basis‎ ‎of these classes‎.

induced operators on symmetry classes of polynomials

‎in this paper‎, ‎we give a necessary and sufficient condition for the equality of two symmetrized decomposable polynomials‎. ‎then‎, ‎we study some algebraic and geometric properties of the induced operators over symmetry classes of polynomials in the case of linear characters‎.

Classes of Polynomials Having Only