Scalar Equilibrium Problem and the Limit Distribution of Zeros of Hermite-Padé Polynomials of Type II

Autor:	Sergey Pavlovich Suetin, Nikolay Ikonomov
Rok vydání:	2020
Předmět:	symbols.namesake Mathematics (miscellaneous) Hermite polynomials Limit distribution Riemann surface Scalar (mathematics) Mathematical analysis symbols Padé approximant Equilibrium problem Mathematics
Zdroj:	Proceedings of the Steklov Institute of Mathematics. 309:159-182
ISSN:	1531-8605 0081-5438
Popis:	Using the scalar equilibrium problem posed on the two-sheeted Riemann surface, we prove the existence of a limit distribution of the zeros of Hermite-Pade polynomials of type II for a pair of functions forming a Nikishin system. We discuss the relation of the results obtained here to some results of H. Stahl (1988) and present results of numerical experiments. The results of the present paper and those obtained in earlier papers of the second author are shown to be in good accordance with both H. Stahl’s results and results of numerical experiments.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::57b87baeb87fb1a7af2bece98280960b https://doi.org/10.1134/s0081543820030128 Zobrazit plný text záznamu Full text from SpringerLink