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• W3008264292 abstract "For $alpha_0 = left[a_0, a_1, ldotsright]$ an infinite continued fraction and $sigma$ a linear fractional transformation, we study the continued fraction expansion of $sigma(alpha_0)$ and its convergents. We provide the continued fraction expansion of $sigma(alpha_0)$ for four general families of continued fractions and when $left|det sigmaright| = 2$. We also find nonlinear recurrence relations among the convergents of $sigma(alpha_0)$ which allow us to highlight relations between convergents of $alpha_0$ and $sigma(alpha_0)$. Finally, we apply our results to some special and well-studied continued fractions, like Hurwitzian and Tasoevian ones, giving a first study about leaping convergents having steps provided by nonlinear functions." @default.
• W3008264292 created "2020-03-06" @default.
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• W3008264292 date "2020-02-28" @default.
• W3008264292 modified "2023-09-25" @default.
• W3008264292 title "Linear fractional transformations and non-linear leaping convergents of some continued fractions." @default.
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• W3008264292 hasPublicationYear "2020" @default.
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