2024/01/23 by Etan Basser, Basser, Etan, Nicholas Ovenhouse +3
Mathematics · #Mathematical Dynamics and Fractals #Analytic Number Theory Research #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2401.12859
We investigate some properties of the higher continued fractions defined recently by Musiker, Ovenhouse, Schiffler, and Zhang. We prove that the maps defining the higher continued fractions are increasing continuous functions on the positive real numbers. We also investigate some asymptotics of these maps.