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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2009 Volume 85, Issue 1, Pages 12–21 (Mi mzm6585)

This article is cited in 4 papers

Triangular Matrices and Combinatorial Inversion Formulas

R. A. Zatorskii, A. R. Malyarchuk

Vasyl Stefanyk Precarpathian National University

Abstract: The paper is devoted to the construction of the matrix inverse of an infinite triangular matrix and to finding the connection coefficients between polynomial sequences and general combinatorial inversion formulas.

Keywords: triangular matrix, combinatorial inversion formula, polynomial sequence, paradeterminant, Fibonacci numbers, ordered partition of a natural number, Stirling numbers.

UDC: 512.643

Received: 30.05.2007

DOI: 10.4213/mzm6585


 English version:
Mathematical Notes, 2009, 85:1, 11–19

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© Steklov Math. Inst. of RAS, 2024