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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2024 Volume 58, Issue 3, Pages 77–88 (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

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.

MSC: 15B05

Received: 25.05.2023
Revised: 03.12.2023
Accepted: 28.12.2023

DOI: 10.4213/faa4125


 English version: Functional Analysis and Its Applications, 2024, 58:3, 289–298

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© Steklov Math. Inst. of RAS, 2025