@article{Buslaev_2010, title={On Hankel determinants of functions given by their expansions in $P$-fractions}, volume={62}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2870}, abstractNote={We obtain explicit formulas that express the Hankel determinants of functions given by their expansions in continued $P$-fractions in terms of the parameters of the fraction. As a corollary, we obtain a lower bound for the capacity of the set of singular points of these functions, an analog of the van Vleck theorem for $P$-fractions with limit-periodic coefficients, another proof of the Gonchar theorem on the Leighton conjecture, and an upper bound for the radius of the disk of meromorphy of a function given by a $С$-fraction.}, number={3}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={BuslaevV. I.}, year={2010}, month={Mar.}, pages={315–326} }