Rakhmanov, E. A.; Suetin, S. P. Asymptotic behaviour of the Hermite-Padé polynomials of the 1st kind for a pair of functions forming a Nikishin system. (English. Russian original) Zbl 1273.41013 Russ. Math. Surv. 67, No. 5, 954-956 (2012); translation from Usp. Mat. Nauk. 67, No. 5, 177-178 (2012). The authors consider pairs of functions that form a Nikishin system and study the asymptotics of Hermite-Padé polynomials of the first kind that are related with such pairs. Reviewer: Vladimir V. Peller (East Lansing) Cited in 1 ReviewCited in 3 Documents MSC: 41A21 Padé approximation 42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis Keywords:Hermite-Padé polynomials; Nikishin system PDF BibTeX XML Cite \textit{E. A. Rakhmanov} and \textit{S. P. Suetin}, Russ. Math. Surv. 67, No. 5, 954--956 (2012; Zbl 1273.41013); translation from Usp. Mat. Nauk. 67, No. 5, 177--178 (2012) Full Text: DOI OpenURL