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Preprints of the Keldysh Institute of Applied Mathematics, 2017, 026, 20 pp.
DOI: https://doi.org/10.20948/prepr-2017-26 (Mi ipmp2242) 		 
Weak asymptotics of multiple Pollaczek polynomials

V. N. Sorokin
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DOI: https://doi.org/10.20948/prepr-2017-26
Abstract: The polynomials defined by a special two-diagonal non-symmetric operator are considered. The weak asymptotics of the scaled polynomials is obtained. The potential theory interpretation is given.
Keywords: spectral theory, Pollaczek polynomials, Nikishin system, equilibrium problems of the logarithmic potential theory, saddle point method, Riemann surfaces, algebraic functions.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00614_а
Ministry of Education and Science of the Russian Federation НШ-9110.2016.1
Document Type: Preprint
UDC: 517.53
Language: Russian
Citation: V. N. Sorokin, “Weak asymptotics of multiple Pollaczek polynomials”, Keldysh Institute preprints, 2017, 026, 20 pp.
Citation in format AMSBIB
\Bibitem{Sor17}
\by V.~N.~Sorokin
\paper Weak asymptotics of multiple Pollaczek polynomials
\jour Keldysh Institute preprints
\yr 2017
\papernumber 026
\totalpages 20
\mathnet{http://mi.mathnet.ru/ipmp2242}
\crossref{https://doi.org/10.20948/prepr-2017-26}
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