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Matematicheskie Zametki, 2021, Volume 110, Issue 3, Pages 424–433
DOI: https://doi.org/10.4213/mzm12952 (Mi mzm12952) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Analogs of Schmidt's Formula for Polyorthogonal Polynomials of the First Type

A. P. Starovoitov, N. V. Ryabchenko

Gomel State University named after Francisk Skorina
Full-text PDF (507 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm12952
Abstract: Given any system of Laurent-type power series, a criterion for the uniqueness of polyorthogonal polynomials of first type associated with this system is stated and proved, and explicit determinant representations generalizing E. Schmidt's formula for these polynomials are obtained. The proved statements supplement well-known results of the theory of orthogonal and polyorthogonal polynomials.
Keywords: orthogonal polynomial, normal index, perfect system, Hankel determinant, polyorthogonal polynomial.
Funding agency Grant number
Ministry of Education of the Republic of Belarus
by the Ministry of Education of the Republic of Belarus in the framework of the 2016–2020 State Program of Scientific Research.
Received: 03.11.2020
Revised: 20.03.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 3, Pages 409–417
DOI: https://doi.org/10.1134/S0001434621090091
Bibliographic databases:
Document Type: Article
UDC: 517.538.52+517.538.53
Language: Russian
Citation: A. P. Starovoitov, N. V. Ryabchenko, “Analogs of Schmidt's Formula for Polyorthogonal Polynomials of the First Type”, Mat. Zametki, 110:3 (2021), 424–433; Math. Notes, 110:3 (2021), 409–417
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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