|
Keldysh Institute preprints, 2017, 085, 35 pages
(Mi ipmp2301)
|
|
|
|
Strong asymptotics of Hermite–Pade approximants for the Nikishin system of Jacobi weights
V. G. Lysov
Abstract:
The Hermite–Pade approximants for the Cauchy transforms of the Jacobi weights on one interval are considered. This system of functions forms a Nikishin system. The denominators of the approximants are known as Jacobi–Pineiro polynomials. For the case of two weights the integral representations are obtained, the weak asymptotics is investigated. For the diagonal indexes the strong asymptotics of the polynomials and the functions of the second kind is found. The classical saddle point method is used.
Keywords:
Jacobi–Pineiro multiple orthogonal polynomials, Nikishin system, integral representations, generalized hypergeometric functions, strong asymptotics, saddle point method.
DOI:
https://doi.org/10.20948/prepr-2017-85
Full text:
PDF file (307 kB)
Full text:
http:/.../preprint.asp?id=2017-85&lg=r
References:
PDF file
HTML file
UDC:
517.53
Citation:
V. G. Lysov, “Strong asymptotics of Hermite–Pade approximants for the Nikishin system of Jacobi weights”, Keldysh Institute preprints, 2017, 085, 35 pp.
Citation in format AMSBIB
\Bibitem{Lys17}
\by V.~G.~Lysov
\paper Strong asymptotics of Hermite--Pade approximants for the Nikishin system of Jacobi weights
\jour Keldysh Institute preprints
\yr 2017
\papernumber 085
\totalpages 35
\mathnet{http://mi.mathnet.ru/ipmp2301}
\crossref{https://doi.org/10.20948/prepr-2017-85}
Linking options:
http://mi.mathnet.ru/eng/ipmp2301 http://mi.mathnet.ru/eng/ipmp/y2017/p85
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
|
Number of views: |
This page: | 78 | Full text: | 13 | References: | 12 |
|