Geodesic
Speed of convergence of quadratic Hermite--Pad\'e approximations confluent hypergeometric functions
Problemy fiziki, matematiki i tehniki, no. 1 (2018), pp. 71-78

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The speed of convergence (including non-diagonal) of quadratic Hermite–Padé approximations of the system of the second kind $\{_1F_1(1,\gamma;\lambda_jz)\}^2_{j=1}$ is found. It consists of two degenerate hypergeometric functions when $\{\lambda_j\}_{j=1}^2$ are arbitrary distinct complex numbers, and $\gamma\in\mathbb{C}\setminus\{0, -1, -2,\dots\}$. These proved theorems supplement and generalize the results obtained earlier by other authors.
Keywords: Hermite integrals, Hermite–Padé polynomials, Taylor series, Hermite–Padé approximations, asymptotic equality. 
@article{PFMT_2018_1_a12,
     author = {M. V. Sidortsov and A. A. Drapeza and A. P. Starovoitov},
     title = {Speed of convergence of quadratic {Hermite--Pad\'e} approximations confluent hypergeometric functions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {71--78},
     publisher = {mathdoc},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2018_1_a12/}
}
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M. V. Sidortsov; A. A. Drapeza; A. P. Starovoitov. Speed of convergence of quadratic Hermite--Pad\'e approximations confluent hypergeometric functions. Problemy fiziki, matematiki i tehniki, no. 1 (2018), pp. 71-78. http://geodesic.mathdoc.fr/item/PFMT_2018_1_a12/