Geodesic
Inverse Results on Row Sequences of Hermite--Pad\'e Approximation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and its applications, Tome 298 (2017), pp. 165-184

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We consider row sequences of (type II) Hermite–Padé approximations with common denominator associated with a vector $\mathbf f$ of formal power expansions about the origin. In terms of the asymptotic behavior of the sequence of common denominators, we describe some analytic properties of $\mathbf f$ and restate some conjectures corresponding to questions once posed by A. A. Gonchar for row sequences of Padé approximants.
Keywords: Hermite–Padé approximation, inverse type results. 
@article{TM_2017_298_a11,
     author = {G. L\'opez Lagomasino and Y. Zaldivar Gerpe},
     title = {Inverse {Results} on {Row} {Sequences} of {Hermite--Pad\'e} {Approximation}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {165--184},
     publisher = {mathdoc},
     volume = {298},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2017_298_a11/}
}
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G. López Lagomasino; Y. Zaldivar Gerpe. Inverse Results on Row Sequences of Hermite--Pad\'e Approximation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis and its applications, Tome 298 (2017), pp. 165-184. http://geodesic.mathdoc.fr/item/TM_2017_298_a11/