G. Alpan

activity

20142026

most citedOrthogonal polynomials for the weakly equilibrium Cantor sets

11 citations · 32 across the 14 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.SP2015★ 6 cited

Spacing properties of the zeros of orthogonal polynomials on Cantor sets via a sequence of polynomial mappings

Gökalp Alpan

Let $μ$ be a probability measure with an infinite compact support on $R$ . Let us further assume that $(F_{n})_{n = 1}^{\infty}$ is a sequence of orthogonal polynomials for $μ$ w…

math.SP2015★ 11 cited

Orthogonal polynomials for the weakly equilibrium Cantor sets

Gokalp Alpan, Alexander Goncharov

Let $K (γ)$ be the weakly equilibrium Cantor type set introduced in [10]. It is proven that the monic orthogonal polynomials $Q_{2^{s}}$ with respect to the equilibrium measure of $K(…

math.DS2015★ 7 cited

Chebyshev polynomials on generalized Julia sets

Gökalp Alpan

Let $(f_{n})_{n = 1}^{\infty}$ be a sequence of nonlinear polynomials satisfying some mild conditions. Furthermore, let $F_{m} (z) = (f_{m} \circ f_{m - 1} \dots \circ f_{1}) (z)$ and $ρ_{m}$ be the le…

math.DS2015

Orthogonal polynomials on generalized Julia sets

Gökalp Alpan, Alexander Goncharov

We extend results by Barnsley et al. about orthogonal polynomials on Julia sets to the case of generalized Julia sets. The equilibrium measure is considered. In addition, we discus…