Waraporn ChonlapapNattapong BosuwanSouth Carolina Commission on Higher EducationMahidol University2020-01-272020-01-272019-01-01Thai Journal of Mathematics. Vol.17, (2019), 272-287168602092-s2.0-85063571296https://repository.li.mahidol.ac.th/handle/20.500.14594/51234© 2019 by the Mathematical Association of Thailand. All rights reserved. A convergence in Hausdorff content of Padé-Faber approximants (re-cently introduced in [1]) on some certain sequences is proved. As applications of this result, we give an alternate proof of a Montessus de Ballore type theorem for these Padé-Faber approximants and a proof of a convergence of Padé-Faber approximants in the maximal canonical domain in which the approximated function can be continued to a meromorphic function.Mahidol UniversityMathematicsArticleSCOPUS