On certain combinatorial identities
Robert Bartoszyński (1974)
Colloquium Mathematicae
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Displaying similar documents to “Factorizations related to some numerical triangles”
On certain combinatorial identities
Human proofs of identities by Osburn and Schneider.
Prodinger, Helmut (2008)
Integers
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Summation identities for representation of certain real numbers.
Grossman, George, Tefera, Akalu, Zeleke, Aklilu (2006)
International Journal of Mathematics and Mathematical Sciences
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A solution of a problem of B. Rotman
A. R. D. Mathias (1977)
Colloquium Mathematicae
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A solution of a problem of B. Rotman
E. Grzegorek (1977)
Colloquium Mathematicae
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Two finite forms of Watson's quintuple product identity and matrix inversion.
Ma, X. (2006)
The Electronic Journal of Combinatorics [electronic only]
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Some Numerical Invariants of Multilinear Identities
Giambruno, Antonio, Mishchenko, Sergey, Zaicev, Mikhail (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 16R10, 16A30, 16A50, 17B01, 17C05, 17D05, 16P90, 17A, 17D. We consider non-necessarily associative algebras over a field of characteristic zero and their polynomial identities. Here we describe most of the results obtained in recent years on two numerical sequences that can be attached to the multilinear identities satisfied by an algebra: the sequence of codimensions and the sequence of colengths.
A WZ proof of a “curious” identity.
Ekhad, Shalosh B., Mohammed, Mohamud (2003)
Integers
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On finite summation, recurrence relations and identities of H-functions
P. Anandani (1969)
Annales Polonici Mathematici
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The reciprocal super Catalan matrix
Helmut Prodinger (2015)
Special Matrices
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The reciprocal super Catalan matrix has entries [...] . Explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, q-analogues are also presented.
A new triple sum combinatorial identity.
Sinyor, Joseph, Tefera, Akalu (2002)
International Journal of Mathematics and Mathematical Sciences
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Properties of the determinant of a rectangular matrix
Anna Makarewicz, Piotr Pikuta, Dominik Szałkowski (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this paper we present new identities for the Radić’s determinant of a rectangular matrix. The results include representations of the determinant of a rectangular matrix as a sum of determinants of square matrices and description how the determinant is affected by operations on columns such as interchanging columns, reversing columns or decomposing a single column.
Generalized Cauchy determinants.
Richardson, Thomas M. (2008)
Integers
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Matrix compositions.
Munarini, Emanuele, Poneti, Maddalena, Rinaldi, Simone (2009)
Journal of Integer Sequences [electronic only]
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An observation on the extension of Abel's lemma.
Patkowski, Alexander E. (2010)
Integers
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Some identities for factorials and binomial coefficients
V. Mandekić-Botteri (1986)
Matematički Vesnik
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Gelin-Cesáro identities for Fibonacci and Lucas quaternions
Ahmet Daşdemir (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions. The identities are a worthy addition to the literature. Moreover, we give Catalan's identity for the Lucas quaternions.