Geodesic
Hermite--Pade approximants of the system Mittag-Leffler functions
Problemy fiziki, matematiki i tehniki, no. 1 (2013), pp. 81-87

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The paper deals with asymptotic properties of Hermite integrals. In particular, the asymptotics of diagonal Hermite–Pade approximations $\pi^j_{kn,kn}(z;e^{j\xi})$ for the system of exponents $\{e^{jz}\}_{j=1}^k$ are determined when $j=1,2,\dots,k$ and $n\to\infty$. Similar results are proved for the system of confluent hypergeometric functions $\{_1F_1(1;\gamma;jz)\}_{j=1}^k$.
Keywords: Hermite integrals, Hermite–Pade approximations, asymptotic equality.
Mots-clés : joint Pade approximations 
@article{PFMT_2013_1_a14,
     author = {A. P. Starovoitov},
     title = {Hermite--Pade approximants of the system {Mittag-Leffler} functions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {81--87},
     publisher = {mathdoc},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2013_1_a14/}
}
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A. P. Starovoitov. Hermite--Pade approximants of the system Mittag-Leffler functions. Problemy fiziki, matematiki i tehniki, no. 1 (2013), pp. 81-87. http://geodesic.mathdoc.fr/item/PFMT_2013_1_a14/