Geodesic
On an Example of the Nikishin System
Matematičeskie zametki, Tome 104 (2018) no. 6, pp. 918-929

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An example of a Markov function $f=\mathrm{const}+\widehat{\sigma}$ such that the three functions $f$, $f^2$, and $f^3$ constitute a Nikishin system is given. It is conjectured that there exists a Markov function $f$ such that, for each $n\in\mathbb N$, the system of $f,f^2,\dots,f^n$ is a Nikishin system.
Keywords: Hermite–Padé polynomials, Angelesco system, Nikishin system. 
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     author = {S. P. Suetin},
     title = {On an {Example} of the {Nikishin} {System}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {918--929},
     publisher = {mathdoc},
     volume = {104},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_6_a9/}
}
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S. P. Suetin. On an Example of the Nikishin System. Matematičeskie zametki, Tome 104 (2018) no. 6, pp. 918-929. http://geodesic.mathdoc.fr/item/MZM_2018_104_6_a9/