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Author ID: barry.paul Recent zbMATH articles by "Barry, Paul"
Published as: Barry, Paul
Documents Indexed: 65 Publications since 2003, including 1 Book
Co-Authors: 13 Co-Authors with 22 Joint Publications
181 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 197 times in 137 Documents Cited by Year
On integer-sequence-based constructions of generalized Pascal triangles. Zbl 1178.11023
Barry, Paul
18
2006
Continued fractions and transformations of integer sequences. Zbl 1201.11033
Barry, Paul
16
2009
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Zbl 1213.42086
Barry, Paul
14
2011
The Hankel transform of the sum of consecutive generalized Catalan numbers. Zbl 1127.11017
Rajković, Predrag M.; Petković, Marko D.; Barry, Paul
11
2007
Meixner-type results for Riordan arrays and associated integer sequences. Zbl 1201.42017
Barry, Paul; Hennessy, Aoife
10
2010
On the central coefficients of Riordan matrices. Zbl 1310.11032
Barry, Paul
9
2013
On a family of generalized Pascal triangles defined by exponential Riordan arrays. Zbl 1158.05004
Barry, Paul
9
2007
Eulerian polynomials as moments, via exponential Riordan arrays. Zbl 1246.11066
Barry, Paul
8
2011
A Catalan transform and related transformations on integer sequences. Zbl 1122.11007
Barry, Paul
8
2005
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences. Zbl 1197.11030
Barry, Paul
7
2010
Triangle geometry and Jacobsthal numbers. Zbl 1076.11006
Barry, Paul
6
2003
A note on a family of generalized Pascal matrices defined by Riordan arrays. Zbl 1317.11031
Barry, Paul
6
2013
General Eulerian polynomials as moments using exponential Riordan arrays. Zbl 1342.11028
Barry, Paul
5
2013
Exponential Riordan arrays and permutation enumeration. Zbl 1201.05006
Barry, Paul
5
2010
Closed-form expression for Hankel determinants of the Narayana polynomials. Zbl 1249.11042
Petković, Marko D.; Barry, Paul; Rajković, Predrag
4
2012
The Hankel transform of a sequence obtained by series reversion. Zbl 1256.11023
Bojičić, Radica; Petković, Marko D.; Barry, Paul
4
2012
The Hankel transform of generalized central trinomial coefficients and related sequences. Zbl 1228.11031
Petković, Marko D.; Rajković, Predrag M.; Barry, Paul
4
2011
Riordan pseudo-involutions, continued fractions and Somos-4 sequences. Zbl 1459.11033
Barry, Paul
3
2019
Classical and semi-classical orthogonal polynomials defined by Riordan arrays, and their moment sequences. Zbl 1390.15106
Barry, Paul; Mesinga Mwafise, Arnauld
3
2018
Generalized Narayana polynomials, Riordan arrays, and lattice paths. Zbl 1291.11057
Barry, Paul; Hennessy, Aoife
3
2012
Constructing exponential Riordan arrays from their \(A\) and \(Z\) sequences. Zbl 1300.11023
Barry, Paul
3
2014
A note on a one-parameter family of Catalan-like numbers. Zbl 1201.11032
Barry, Paul
3
2009
Riordan arrays, generalized Narayana triangles, and series reversion. Zbl 1391.05064
Barry, Paul
3
2016
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations. Zbl 1232.11040
Barry, Paul; Hennessy, Aoife
3
2011
On a generalization of the Narayana triangle. Zbl 1232.11039
Barry, Paul
3
2011
The central coefficients of a family of Pascal-like triangles and colored lattice paths. Zbl 1405.05006
Barry, Paul
2
2019
On the halves of a Riordan array and their antecedents. Zbl 1428.15034
Barry, Paul
2
2019
Riordan arrays and the LDU decomposition of symmetric Toeplitz plus Hankel matrices. Zbl 1252.15013
Barry, P.; Hennessy, A.
2
2012
Algebraic properties of Riordan subgroups. Zbl 07369373
Barry, Paul; Hennessy, Aoife; Pantelidis, Nikolaos
2
2021
On a transformation of Riordan moment sequences. Zbl 1433.05017
Barry, Paul
2
2018
Notes on a family of Riordan arrays and associated integer Hankel transforms. Zbl 1201.11034
Barry, Paul; Hennessy, Aoife
2
2009
Some observations on the Lah and Laguerre transforms of integer sequences. Zbl 1158.11011
Barry, Paul
2
2007
Generalized Stirling numbers, exponential Riordan arrays, and orthogonal polynomials. Zbl 1246.11059
Hennessy, Aoife; Barry, Paul
2
2011
The restricted Toda chain, exponential Riordan arrays, and Hankel transforms. Zbl 1192.42015
Barry, Paul
2
2010
The \(\gamma\)-vectors of Pascal-like triangles defined by Riordan arrays. Zbl 1454.11059
Barry, Paul
1
2019
The Hankel transform of aerated sequences. Zbl 1360.11054
Bojičić, Radica; Petković, Marko D.; Barry, Paul
1
2013
Jacobsthal decompositions of Pascal’s triangle, ternary trees, and alternating sign matrices. Zbl 1415.11059
Barry, Paul
1
2016
Horizontal and vertical formulas for exponential Riordan matrices and their applications. Zbl 1377.05007
Cheon, Gi-Sang; Jung, Ji-Hwan; Barry, Paul
1
2018
Four-term recurrences, orthogonal polynomials and Riordan arrays. Zbl 1291.11028
Barry, Paul; Hennessy, Aoife
1
2012
A note on three families of orthogonal polynomials defined by circular functions, and their moment sequences. Zbl 1292.42015
Barry, Paul
1
2012
On the inverses of a family of Pascal-like matrices defined by Riordan arrays. Zbl 1317.11032
Barry, Paul
1
2013
Sobolev orthogonal polynomials in computing of Hankel determinants. Zbl 1254.65060
Rajković, Predrag M.; Barry, Paul; Petković, Marko D.
1
2012
On integer sequences associated with the cyclic and complete graphs. Zbl 1140.11011
Barry, Paul
1
2007
Embedding structures associated with Riordan arrays and moment matrices. Zbl 1295.05052
Barry, Paul
1
2014
Combinatorial polynomials as moments, Hankel transforms, and exponential Riordan arrays. Zbl 1241.11024
Barry, Paul
1
2011
Algebraic properties of Riordan subgroups. Zbl 07369373
Barry, Paul; Hennessy, Aoife; Pantelidis, Nikolaos
2
2021
Riordan pseudo-involutions, continued fractions and Somos-4 sequences. Zbl 1459.11033
Barry, Paul
3
2019
The central coefficients of a family of Pascal-like triangles and colored lattice paths. Zbl 1405.05006
Barry, Paul
2
2019
On the halves of a Riordan array and their antecedents. Zbl 1428.15034
Barry, Paul
2
2019
The \(\gamma\)-vectors of Pascal-like triangles defined by Riordan arrays. Zbl 1454.11059
Barry, Paul
1
2019
Classical and semi-classical orthogonal polynomials defined by Riordan arrays, and their moment sequences. Zbl 1390.15106
Barry, Paul; Mesinga Mwafise, Arnauld
3
2018
On a transformation of Riordan moment sequences. Zbl 1433.05017
Barry, Paul
2
2018
Horizontal and vertical formulas for exponential Riordan matrices and their applications. Zbl 1377.05007
Cheon, Gi-Sang; Jung, Ji-Hwan; Barry, Paul
1
2018
Riordan arrays, generalized Narayana triangles, and series reversion. Zbl 1391.05064
Barry, Paul
3
2016
Jacobsthal decompositions of Pascal’s triangle, ternary trees, and alternating sign matrices. Zbl 1415.11059
Barry, Paul
1
2016
Constructing exponential Riordan arrays from their \(A\) and \(Z\) sequences. Zbl 1300.11023
Barry, Paul
3
2014
Embedding structures associated with Riordan arrays and moment matrices. Zbl 1295.05052
Barry, Paul
1
2014
On the central coefficients of Riordan matrices. Zbl 1310.11032
Barry, Paul
9
2013
A note on a family of generalized Pascal matrices defined by Riordan arrays. Zbl 1317.11031
Barry, Paul
6
2013
General Eulerian polynomials as moments using exponential Riordan arrays. Zbl 1342.11028
Barry, Paul
5
2013
The Hankel transform of aerated sequences. Zbl 1360.11054
Bojičić, Radica; Petković, Marko D.; Barry, Paul
1
2013
On the inverses of a family of Pascal-like matrices defined by Riordan arrays. Zbl 1317.11032
Barry, Paul
1
2013
Closed-form expression for Hankel determinants of the Narayana polynomials. Zbl 1249.11042
Petković, Marko D.; Barry, Paul; Rajković, Predrag
4
2012
The Hankel transform of a sequence obtained by series reversion. Zbl 1256.11023
Bojičić, Radica; Petković, Marko D.; Barry, Paul
4
2012
Generalized Narayana polynomials, Riordan arrays, and lattice paths. Zbl 1291.11057
Barry, Paul; Hennessy, Aoife
3
2012
Riordan arrays and the LDU decomposition of symmetric Toeplitz plus Hankel matrices. Zbl 1252.15013
Barry, P.; Hennessy, A.
2
2012
Four-term recurrences, orthogonal polynomials and Riordan arrays. Zbl 1291.11028
Barry, Paul; Hennessy, Aoife
1
2012
A note on three families of orthogonal polynomials defined by circular functions, and their moment sequences. Zbl 1292.42015
Barry, Paul
1
2012
Sobolev orthogonal polynomials in computing of Hankel determinants. Zbl 1254.65060
Rajković, Predrag M.; Barry, Paul; Petković, Marko D.
1
2012
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Zbl 1213.42086
Barry, Paul
14
2011
Eulerian polynomials as moments, via exponential Riordan arrays. Zbl 1246.11066
Barry, Paul
8
2011
The Hankel transform of generalized central trinomial coefficients and related sequences. Zbl 1228.11031
Petković, Marko D.; Rajković, Predrag M.; Barry, Paul
4
2011
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations. Zbl 1232.11040
Barry, Paul; Hennessy, Aoife
3
2011
On a generalization of the Narayana triangle. Zbl 1232.11039
Barry, Paul
3
2011
Generalized Stirling numbers, exponential Riordan arrays, and orthogonal polynomials. Zbl 1246.11059
Hennessy, Aoife; Barry, Paul
2
2011
Combinatorial polynomials as moments, Hankel transforms, and exponential Riordan arrays. Zbl 1241.11024
Barry, Paul
1
2011
Meixner-type results for Riordan arrays and associated integer sequences. Zbl 1201.42017
Barry, Paul; Hennessy, Aoife
10
2010
Generalized Catalan numbers, Hankel transforms and Somos-4 sequences. Zbl 1197.11030
Barry, Paul
7
2010
Exponential Riordan arrays and permutation enumeration. Zbl 1201.05006
Barry, Paul
5
2010
The restricted Toda chain, exponential Riordan arrays, and Hankel transforms. Zbl 1192.42015
Barry, Paul
2
2010
Continued fractions and transformations of integer sequences. Zbl 1201.11033
Barry, Paul
16
2009
A note on a one-parameter family of Catalan-like numbers. Zbl 1201.11032
Barry, Paul
3
2009
Notes on a family of Riordan arrays and associated integer Hankel transforms. Zbl 1201.11034
Barry, Paul; Hennessy, Aoife
2
2009
The Hankel transform of the sum of consecutive generalized Catalan numbers. Zbl 1127.11017
Rajković, Predrag M.; Petković, Marko D.; Barry, Paul
11
2007
On a family of generalized Pascal triangles defined by exponential Riordan arrays. Zbl 1158.05004
Barry, Paul
9
2007
Some observations on the Lah and Laguerre transforms of integer sequences. Zbl 1158.11011
Barry, Paul
2
2007
On integer sequences associated with the cyclic and complete graphs. Zbl 1140.11011
Barry, Paul
1
2007
On integer-sequence-based constructions of generalized Pascal triangles. Zbl 1178.11023
Barry, Paul
18
2006
A Catalan transform and related transformations on integer sequences. Zbl 1122.11007
Barry, Paul
8
2005
Triangle geometry and Jacobsthal numbers. Zbl 1076.11006
Barry, Paul
6
2003
all top 5

Cited by 162 Authors

16 Barry, Paul
10 Cheon, Gi-Sang
10 Yang, Shengliang
7 Ramírez, José Luis
6 Petković, Marko D.
5 Cerda-Morales, Gamaliel Cerda
5 Shapiro, Louis W.
5 Yang, Lin
5 Zhu, Baoxuan
4 Bojičić, Radica
4 Jung, Ji-Hwan
4 Kim, Hana
4 Liu, Lily Li
4 Wang, Yi
3 Dong, Yanni
3 Mu, Lili
3 Özkan, Engin
3 Rajković, Predrag M.
3 Sokal, Alan D.
2 Agapito, José
2 Amrouche, Said
2 Belbachir, Hacene
2 Bényi, Beáta
2 Chang, Xiangke
2 Dominici, Diego Ernesto
2 Fu, Amy M.
2 Goy, Taras P.
2 Guo, Bai-Ni
2 Han, Guo-Niu
2 Hu, Xingbiao
2 Hwang, Hsien-Kuei
2 Kuloğlu, Bahar
2 Méndez, Miguel A.
2 Mesinga Mwafise, Arnauld
2 Mező, István
2 Pantelidis, Nikolaos
2 Qi, Feng
2 Shattuck, Mark A.
2 Steingrímsson, Einar
2 Xin, Guoce
2 Yeh, Yeong-Nan
1 Albaidani, Mashael M.
1 Arizmendi, Octavio
1 Asinowski, Andrei
1 Au, Yu-Hin
1 Bacher, Axel
1 Bagdasar, Ovidiu Dumitru
1 Bagdasaryan, Armen G.
1 Banderier, Cyril
1 Barnabei, Marilena
1 Bhrawy, Ali Hassan
1 Blitvić, Natasha
1 Bonetti, Flavio
1 Borowiec, Anna
1 Boubaker, Karem Mahmoud
1 Boyadzhiev, Khristo N.
1 Bruhn, Henning
1 Burlachenko, Evgeniĭ V.
1 Burstein, Alexander
1 Cai, Yue
1 Cameron, Naiomi T.
1 Castronuovo, Niccolò
1 Cerbai, Giulio
1 Chammam, Wathek
1 Chern, Huahuai
1 Choi, Hayoung
1 Choi, Sang-Kwan
1 Chu, Wenchang
1 Claesson, Anders
1 Cobo Pablos, Helena
1 Cohen, Marshall M.
1 Curtis, Bryan A.
1 Deveci, Ömür
1 Di Nardo, Elvira
1 Dou, Xiaoling
1 Duh, Guan-Huei
1 Dziemiańczuk, Maciej
1 Elizalde, Sergi
1 Fang, Jonathan J.
1 Ferrari, Luca
1 Ferrari, Margherita Maria
1 Flórez, Rigoberto
1 Forcey, Stefan
1 Forgács, Tamás
1 Francisco, Christopher A.
1 Fritzsche, Bernd
1 Ganie, Abdul Hamid
1 Gellert, Laura
1 Gittenberger, Bernhard
1 Gunther, Jacob H.
1 Guo, Wan-Ming
1 Hamaker, Zachary
1 Hasebe, Takahiro
1 Hennessy, Aoife
1 Hibi, Takayuki
1 Huh, Jisun
1 Kaabar, Mohammed K. A.
1 Kamioka, Shuhei
1 Kim, Dae San
1 Kim, Taekyun
...and 62 more Authors
all top 5

Cited in 58 Serials

36 Linear Algebra and its Applications
12 Journal of Integer Sequences
11 Discrete Mathematics
6 The Electronic Journal of Combinatorics
5 Advances in Applied Mathematics
4 Integral Transforms and Special Functions
3 European Journal of Combinatorics
2 Journal of Combinatorial Theory. Series A
2 Transactions of the American Mathematical Society
2 Indagationes Mathematicae. New Series
2 Turkish Journal of Mathematics
2 Proyecciones
2 Ars Mathematica Contemporanea
2 International Journal of Combinatorics
1 Discrete Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Czechoslovak Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal of Graph Theory
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Topology and its Applications
1 Graphs and Combinatorics
1 Algorithmica
1 SIAM Journal on Discrete Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 The Australasian Journal of Combinatorics
1 Journal of Algebraic Combinatorics
1 Advances in Applied Clifford Algebras
1 Filomat
1 Journal of Difference Equations and Applications
1 Séminaire Lotharingien de Combinatoire
1 Mathematical Communications
1 Differential Equations and Dynamical Systems
1 Revista Matemática Complutense
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Mediterranean Journal of Mathematics
1 Applications and Applied Mathematics
1 Online Journal of Analytic Combinatorics
1 Complex Analysis and Operator Theory
1 Applicable Analysis and Discrete Mathematics
1 Asian-European Journal of Mathematics
1 Acta Universitatis Sapientiae. Mathematica
1 Bulletin of Mathematical Sciences
1 Transactions on Combinatorics
1 Electronic Journal of Mathematical Analysis and Applications EJMAA
1 Journal of Function Spaces
1 Mathematical Foundations of Computing

Citations by Year