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Asymptotics of multipoint Hermite–Padé approximants of the first type for two beta functions

  • Volume 101, Number 6, June, 2017
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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.

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References

  1. A. A. Kandayan, “Multipoint Padápproximations of the beta function,” Mat. Zametki 85 (2), 189–203 (2009) [Math. Notes 85 (1–2), 176–189 (2009)].

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Correspondence to A. A. Kandayan.

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Original Russian Text © A. A. Kandayan, V. N. Sorokin, 2017, published in Matematicheskie Zametki, 2017, Vol. 101, No. 6, pp. 871–882.

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Kandayan, A.A., Sorokin, V.N. Asymptotics of multipoint Hermite–Padé approximants of the first type for two beta functions. Math Notes 101, 984–993 (2017). https://doi.org/10.1134/S000143461705025X

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  • DOI: https://doi.org/10.1134/S000143461705025X

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