Supuang A.Bosuwan N.Mahidol University2026-04-182026-04-182026-01-01Dolomites Research Notes on Approximation Vol.19 No.1 (2026) , 116-126https://repository.li.mahidol.ac.th/handle/123456789/116251In this paper, we study the rate at which system poles can be detected via Hermite-Padé approximants constructed from polynomial expansions based on orthogonal and Faber polynomials over a compact set E. Our analysis focuses on certain indicators introduced by Gonchar [13] which quantify the detection of poles by rows of the Padé table. We extend Gonchar’s indicator formulas to our generalized Hermite-Padé approximants and explicitly compute the values of these indicators for the system poles of the vector of approximated functions.MathematicsArticleSCOPUS10.25430/pupj-DRNA-2026-1-102-s2.0-10503553415420356803