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Matematicheskie Zametki, 2009, Volume 85, Issue 1, Pages 12–21
DOI: https://doi.org/10.4213/mzm6585 (Mi mzm6585) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Triangular Matrices and Combinatorial Inversion Formulas

R. A. Zatorskii, A. R. Malyarchuk

Vasyl Stefanyk Precarpathian National University
Full-text PDF (413 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm6585
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.
Received: 30.05.2007
English version:
Mathematical Notes, 2009, Volume 85, Issue 1, Pages 11–19
DOI: https://doi.org/10.1134/S0001434609010027
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: R. A. Zatorskii, A. R. Malyarchuk, “Triangular Matrices and Combinatorial Inversion Formulas”, Mat. Zametki, 85:1 (2009), 12–21; Math. Notes, 85:1 (2009), 11–19
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:66
    First page:31
     
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