## Barry, Paul

Compute Distance To:
 Author ID: 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
all top 5

### Co-Authors

 42 single-authored 8 Hennessy, Aoife 7 Petković, Marko D. 7 Rajković, Predrag M. 2 Bojičić, Radica 2 Cheon, Gi-Sang 2 Pantelidis, Nikolaos 2 Savić, Nataša 1 Fitzpatrick, Patrick 1 Jung, Ji-Hwan 1 Merlini, Donatella 1 Mesinga Mwafise, Arnauld 1 Shapiro, Louis W. 1 Sprugnoli, Renzo
all top 5

### Serials

 45 Journal of Integer Sequences 5 Linear Algebra and its Applications 5 Integral Transforms and Special Functions 2 Journal of Algebraic Combinatorics 1 Czechoslovak Mathematical Journal 1 Mathematica Balkanica. New Series 1 Irish Mathematical Society Bulletin 1 Visual Mathematics 1 International Journal of Combinatorics 1 Springer Monographs in Mathematics
all top 5

### Fields

 56 Number theory (11-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 33 Combinatorics (05-XX) 22 Special functions (33-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 4 Numerical analysis (65-XX) 3 Functions of a complex variable (30-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Information and communication theory, circuits (94-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX)

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

### Cited in 26 Fields

 102 Combinatorics (05-XX) 78 Number theory (11-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 14 Special functions (33-XX) 9 Functions of a complex variable (30-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 5 Group theory and generalizations (20-XX) 4 Integral transforms, operational calculus (44-XX) 3 Algebraic geometry (14-XX) 3 Probability theory and stochastic processes (60-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX)