Result: Catalan matrix and related combinatorial identities
Title:
Catalan matrix and related combinatorial identities
Source:
Applied mathematics and computation. 215(2):796-805
Publisher Information:
Amsterdam: Elsevier, 2009.
Publication Year:
2009
Physical Description:
print, 13 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Problèmes combinatoires classiques, Classical combinatorial problems, Algèbre, Algebra, Théorie des nombres, Number theory, Analyse mathématique, Mathematical analysis, Fonctions d'une variable complexe, Functions of a complex variable, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Analyse numérique, Numerical analysis, Análisis numérico, Corrélation, Correlation, Correlación, Fonction gamma, Gamma function, Función gama, Fonction hypergéométrique, Hypergeometric function, Función hipergeométrica, Identité combinatoire, Combinatorial identity, Identidad combinatoria, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Matrice Toeplitz, Toeplitz matrix, Matriz Toeplitz, Matrice triangulaire, Triangular matrix, Matriz triangular, Nombre Catalan, Catalan number, Número Catalan, 05A19, 11B65, 30Gxx, 33B15, 33Cxx, 46Fxx, Catalan matrix, Catalan numbers, Combinatorial identities, Euler gamma function, Generalized hypergeometric function, Pascal matrix
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
University of Niš, Department of Mathematics, Faculty of Science, Višegradska 33, 18000 Niš, Serbia
ISSN:
0096-3003
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.22474565
Database:
PASCAL Archive
Further Information
We introduce the notion of the Catalan matrix Cn[x] whose non-zero elements are expressions which contain the Catalan numbers arranged into a lower triangular Toeplitz matrix. Inverse of the Catalan matrix is derived. Correlations between the matrix Cn[x] and the generalized Pascal matrix are considered. Some combinatorial identities involving Catalan numbers, binomial coefficients and the generalized hypergeometric function are derived using these correlations. Moreover, an additional explicit representation of the Catalan number, as well as an explicit representation of the sum of the first m Catalan numbers are given.