Geodesic
Asymptotics of quadratic Hermite--Pad\'e approximants of the exponential functions
Problemy fiziki, matematiki i tehniki, no. 1 (2014), pp. 74-80

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The paper deals with asymptotic properties of diagonal quadratic Hermite–Padé approximants of type I for exponential system $\{e^{\lambda_jz}\}_{j=0}^2$ with arbitrary real $\lambda_0$, $\lambda_1$, $\lambda_2$. The proved theorems complement the known results of P. Borwein, F. Wielonsky.
Mots-clés : Hermite–Padé approximants of type I
Keywords: quadratic and Hermite–Padé approximants, asymptotic equality, saddle-point method. 
@article{PFMT_2014_1_a12,
     author = {A. P. Starovoitov},
     title = {Asymptotics of quadratic {Hermite--Pad\'e} approximants of the exponential functions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {74--80},
     publisher = {mathdoc},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2014_1_a12/}
}
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A. P. Starovoitov. Asymptotics of quadratic Hermite--Pad\'e approximants of the exponential functions. Problemy fiziki, matematiki i tehniki, no. 1 (2014), pp. 74-80. http://geodesic.mathdoc.fr/item/PFMT_2014_1_a12/