Quadratic Hermite–Padé polynomials associated with the exponential function

Quadratic Hermite-Padé polynomials associated with the exponential function

Asymptotics for Quadratic Hermite-padé Polynomials Associated with the Exponential Function

The asymptotic behavior of quadratic Hermite-Padé polynomials pn, qn, rn ∈ Pn of type I and pn, qn, rn ∈ P2n of type II associated with the exponential function are studied. In the introduction the background of the definition of Hermite-Padé polynomials is reviewed. The quadratic Hermite-Padé polynomials pn, qn, rn ∈ Pn of type I are defined by the relation pn(z) + qn(z)e z + rn(z)e 2z = O(z) ...

Asymptotic Distributions of Zeros of Quadratic Hermite-pad E Polynomials Associated with the Exponential Function

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.

Exact Bounds for Orthogonal Polynomials Associated with Exponential Weights*