Linear fractional transformations and non-linear leaping convergents of some continued fractions

Christopher Havens, Stefano Barbero, Umberto Cerruti +1

For ${\alpha }_0=\left[a_0,a_1,\dots \right]$ an infinite continued fraction and $\sigma$ a linear fractional transformation, we study the continued fraction expansion of $\sigma ({\alpha }_0)$ and its c…