Geodesic
On Some Properties of Hermite--Pad\'e Approximants to an Exponential System
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and its applications, Tome 298 (2017), pp. 338-355

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Extremal properties and localization of zeros of general (including nondiagonal) type I Hermite–Padé polynomials are studied for the exponential system $\{e^{\lambda _jz}\}_{j=0}^k$ with arbitrary different complex numbers $\lambda _0,\lambda _1,\dots ,\lambda _k$. The theorems proved in the paper complement and generalize the results obtained earlier by other authors.
Keywords: exponential system, asymptotic equalities
Mots-clés : Hermite–Padé approximants, zeros of a polynomial. 
@article{TM_2017_298_a18,
     author = {A. P. Starovoitov and E. P. Kechko},
     title = {On {Some} {Properties} of {Hermite--Pad\'e} {Approximants} to an {Exponential} {System}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {338--355},
     publisher = {mathdoc},
     volume = {298},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2017_298_a18/}
}
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A. P. Starovoitov; E. P. Kechko. On Some Properties of Hermite--Pad\'e Approximants to an Exponential System. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and its applications, Tome 298 (2017), pp. 338-355. http://geodesic.mathdoc.fr/item/TM_2017_298_a18/