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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 298, Pages 315–337
DOI: https://doi.org/10.1134/S0371968517030189 (Mi tm3830) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Multiple Orthogonal Polynomials for Three Meixner Measures

V. N. Sorokin

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
Full-text PDF (271 kB) Citations (4)
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DOI: https://doi.org/10.1134/S0371968517030189
Abstract: 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.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00614
This work was supported in part by the Russian Foundation for Basic Research, project no. 17-01-00614.
Received: September 20, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 298, Pages 294–316
DOI: https://doi.org/10.1134/S0081543817060189
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: V. N. Sorokin, “On Multiple Orthogonal Polynomials for Three Meixner Measures”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 315–337; Proc. Steklov Inst. Math., 298 (2017), 294–316
Citation in format AMSBIB
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\paper On Multiple Orthogonal Polynomials for Three Meixner Measures
\inbook Complex analysis and its applications
\bookinfo Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 298
\pages 315--337
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 4 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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