The convergence rate of Hermite--Pad\'e approximations of the three exponent system
Problemy fiziki, matematiki i tehniki, no. 1 (2020), pp. 81-84

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The convergence rate of type II Hermite–Padé approximants for the system $\{e^{\lambda_jz}\}_{j=1}^3$ is found. The theorems proved in the paper complement the results obtained earlier by O. Perron, D. Braess, A.I. Aptekarev, A.P. Starovoitov and other authors.
Keywords: type II Hermite–Padé approximations, system of exponential functions, asymptotic equalities, Hermite integrals.
@article{PFMT_2020_1_a11,
     author = {E. P. Kechko},
     title = {The convergence rate of {Hermite--Pad\'e} approximations of the three exponent system},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {81--84},
     publisher = {mathdoc},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2020_1_a11/}
}
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E. P. Kechko. The convergence rate of Hermite--Pad\'e approximations of the three exponent system. Problemy fiziki, matematiki i tehniki, no. 1 (2020), pp. 81-84. http://geodesic.mathdoc.fr/item/PFMT_2020_1_a11/