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

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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…