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• W3190822290 abstract "In 2021, Mork and Ulness studied the Mandelbrot and Julia sets for a generalization of the well-explored function ηλ(z)=z2+λ. Their generalization was based on the composition of ηλ with the Möbius transformation μ(z)=1z at each iteration step. Furthermore, they posed a conjecture providing a relation between the coefficients of (each order) iterated series of μ(ηλ(z)) (at z=0) and the Catalan numbers. In this paper, in particular, we prove this conjecture in a more precise (quantitative) formulation." @default.
• W3190822290 created "2021-08-16" @default.
• W3190822290 creator A5072631017 @default.
• W3190822290 creator A5073834872 @default.
• W3190822290 date "2021-08-11" @default.
• W3190822290 modified "2023-10-16" @default.
• W3190822290 title "The Proof of a Conjecture Relating Catalan Numbers to an Averaged Mandelbrot-Möbius Iterated Function" @default.
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• W3190822290 doi "https://doi.org/10.3390/fractalfract5030092" @default.
• W3190822290 hasPublicationYear "2021" @default.
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