Geodesic
On Multiple Orthogonal Polynomials for Three Meixner Measures
Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 315-337

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Multiple orthogonal polynomials for three discrete Meixner measures with identical exponential decay at infinity are studied. These polynomials are the denominators of the type II Hermite–Padé approximants to some hypergeometric functions. The limit distribution of zeros of such polynomials scaled in a certain way is described in terms of equilibrium logarithmic potentials and in terms of algebraic curves.
Keywords: Meixner polynomials, Angelesco and Nikishin systems, Riemann surfaces, algebraic functions, equilibrium logarithmic potentials. 
@article{TRSPY_2017_298_a17,
     author = {V. N. Sorokin},
     title = {On {Multiple} {Orthogonal} {Polynomials} for {Three} {Meixner} {Measures}},
     journal = {Informatics and Automation},
     pages = {315--337},
     publisher = {mathdoc},
     volume = {298},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a17/}
}
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V. N. Sorokin. On Multiple Orthogonal Polynomials for Three Meixner Measures. Informatics and Automation, Complex analysis and its applications, Tome 298 (2017), pp. 315-337. http://geodesic.mathdoc.fr/item/TRSPY_2017_298_a17/