This article is cited in 1 paper

Asymptotics of Multipoint Hermite–Padé Approximants of the First Type for Two Beta Functions

A. A. Kandayan, V. N. Sorokin<sup>a

a</sup> Lomonosov Moscow State University

Abstract: The asymptotic behavior of the Hermite–Padé approximants of the first type for two beta functions are studied. The results are expressed in terms of equilibrium problems of logarithmic potential theory and in terms of meromorphic functions on Riemann surfaces.

Keywords: beta function, Hermite–Padé approximant, saddle-point method, Riemann surface, equilibrium potential.

UDC: 517.53

Received: 30.10.2015

DOI: 10.4213/mzm10993

 English version: Mathematical Notes, 2017, 101:6, 984–993

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