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Funktsional'nyi Analiz i ego Prilozheniya, 2024, Volume 58, Issue 3, Pages 77–88
DOI: https://doi.org/10.4213/faa4125 (Mi faa4125) 		 
Elliptic Cauchy matrices

A. V. Zabrodinabc, V. V. Prokofeva

a Skolkovo Institute of Science and Technology, Moscow, Russia
b National Research University Higher School of Economics, Moscow, Russia
c Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre «Kurchatov Institute», Moscow, Russia
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DOI: https://doi.org/10.4213/faa4125
Abstract: Some identities that involve the elliptic version of the Cauchy matrices are presented and proved. They include the determinant formula, the formula for the inverse matrix, the matrix product identity and the factorization formula.
Keywords: elliptic functions, matrix identities.
Funding agency Grant number
HSE Basic Research Program
The research of A. Zabrodin has been supported in part within the framework of the HSE University Basic Research Program.
Received: 25.05.2023
Revised: 03.12.2023
Accepted: 28.12.2023
English version:
Functional Analysis and Its Applications, 2024, Volume 58, Issue 3, Pages 289–298
DOI: https://doi.org/10.1134/S0016266324030055
Document Type: Article
MSC: 15B05
Language: Russian
Citation: A. V. Zabrodin, V. V. Prokofev, “Elliptic Cauchy matrices”, Funktsional. Anal. i Prilozhen., 58:3 (2024), 77–88; Funct. Anal. Appl., 58:3 (2024), 289–298
Citation in format AMSBIB
\Bibitem{ZabPro24}
\by A.~V.~Zabrodin, V.~V.~Prokofev
\paper Elliptic Cauchy matrices
\jour Funktsional. Anal. i Prilozhen.
\yr 2024
\vol 58
\issue 3
\pages 77--88
\mathnet{http://mi.mathnet.ru/faa4125}
\crossref{https://doi.org/10.4213/faa4125}
\transl
\jour Funct. Anal. Appl.
\yr 2024
\vol 58
\issue 3
\pages 289--298
\crossref{https://doi.org/10.1134/S0016266324030055}
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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