On irrationality exponents of generalized continued fractions

Jaroslav Hancl, Kalle Leppälä, Tapani Matala-aho +1

We study how the asymptotic irrationality exponent of a given generalized continued fraction \[ \K_{n=1}^\infty \frac{a_n}{b_n}\,,\quad a_n, b_n\in \mathbb{Z}^+, \] behaves as a fu…