Email this article Asymptotics of multipoint Hermite–Padé approximants of the first type for two beta functions
- Authors: Kandayan A.A.1, Sorokin V.N.2
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Affiliations:
- “Mathematical Notes,” Steklov Mathematical Institute of Russian Academy of Sciences
- Lomonosov Moscow State University
- Issue: Vol 101, No 5-6 (2017)
- Pages: 984-993
- Section: Volume 101, Number 6, June, 2017
- URL: https://journals.rcsi.science/0001-4346/article/view/150059
- DOI: https://doi.org/10.1134/S000143461705025X
- ID: 150059
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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.
About the authors
A. A. Kandayan
“Mathematical Notes,” Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: arthurmm@mail.ru
Russian Federation, Moscow
V. N. Sorokin
Lomonosov Moscow State University
Email: arthurmm@mail.ru
Russian Federation, Moscow
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