Items where Author is "Barry, Paul"

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Number of items: 95.

Article

Barry, Paul and Pantelidis, Nikolaos (2021) On pseudo-involutions, involutions and quasi-involutions in the group of almost Riordan arrays. Journal of Algebraic Combinatorics, 54 (2). pp. 399-423. ISSN 0925-9899

Barry, Paul and Hennessy, Aoife and Pantelidis, Nikolaos (2021) Algebraic properties of Riordan subgroups. Journal of Algebraic Combinatorics, 53 (4). pp. 1015-1036. ISSN 0925-9899

Mesinga Mwafise, Arnauld and Barry, Paul (2021) Exponential Riordan arrays and Jacobi elliptic functions. Linear and Multilinear Algebra. ISSN 0308-1087 (In Press)

Barry, Paul (2021) From fibonacci to robbins : Series reversion and hankel transforms. Journal of Integer Sequences, 24 (10). ISSN 1530-7638

Barry, Paul (2021) Generalized catalan recurrences, riordan arrays, elliptic curves, and orthogonal polynomials. Journal of Integer Sequences, 24 (5). ISSN 1530-7638

Barry, Paul (2020) On the central antecedents of integer (And other) sequences. Journal of Integer Sequences, 23 (8). pp. 1-7. ISSN 1530-7638

Barry, Paul (2019) On the halves of a Riordan array and their antecedents. Linear Algebra and Its Applications, 582. pp. 114-137. ISSN 0024-3795

Barry, Paul (2019) Generalized catalan numbers associated with a family of pascal-like triangles. Journal of Integer Sequences, 22 (5). ISSN 1530-7638

Barry, Paul (2019) Riordan pseudo-involutions, continued fractions and somos-4 sequences. Journal of Integer Sequences, 22 (6). ISSN 1530-7638

Barry, Paul (2019) The central coefficients of a family of pascal-like triangles and colored lattice paths. Journal of Integer Sequences, 22 (1). ISSN 1530-7638

Barry, Paul (2019) The γ-vectors of pascal-like triangles defined by riordan arrays. Journal of Integer Sequences, 22 (1). ISSN 1530-7638

Cheon, Gi Sang and Jung, Ji Hwan and Barry, Paul (2018) Horizontal and vertical formulas for exponential Riordan matrices and their applications. Linear Algebra and Its Applications, 541. pp. 266-284. ISSN 0024-3795

Barry, Paul (2018) On a transformation of riordan moment sequences. Journal of Integer Sequences, 21 (7). ISSN 1530-7638

Barry, Paul and Mwafise, Arnauld Mesinga (2017) Classical and semi-classical orthogonal polynomials defined by riordan arrays, and their moment sequences. Journal of Integer Sequences, 21 (1). pp. 1-40. ISSN 1530-7638

Barry, Paul (2017) On the restricted Chebyshev–Boubaker polynomials. Integral Transforms and Special Functions, 28 (3). pp. 223-238. ISSN 1065-2469

Barry, Paul (2017) Sigmoid functions and exponential Riordan arrays. n/a. (Unpublished)

Barry, Paul (2016) Jacobsthal decompositions of pascal’s triangle, ternary trees, and alternating sign matrices. Journal of Integer Sequences, 19 (3). ISSN 1530-7638

Barry, Paul (2016) Riordan arrays, generalized Narayana triangles, and series reversion. Linear Algebra and Its Applications, 491. pp. 343-385. ISSN 0024-3795

Barry, Paul (2014) Comparing two matrices of generalized moments defined by continued fraction expansions. Journal of Integer Sequences, 17 (5). ISSN 1530-7638

Barry, Paul (2014) Constructing exponential riordan arrays from their A and Z sequences. Journal of Integer Sequences, 17 (2). ISSN 1530-7638

Barry, Paul (2013) On the inverses of a family of pascal-like matrices defined by Riordan arrays. Journal of Integer Sequences, 16 (5). ISSN 1530-7638

Barry, Paul (2013) A Note on a Family of Generalized Pascal Matrices Defined by Riordan Arrays. Journal of Integer Sequences, 16. ISSN 1530-7638

Barry, Paul (2013) A note on a family of generalized pascal matrices defined by Riordan arrays. Journal of Integer Sequences, 16 (5). ISSN 1530-7638

Barry, Paul (2013) On the central coefficients of Riordan matrices. Journal of Integer Sequences, 16 (5). ISSN 1530-7638

Barry, Paul (2013) On the Central Coefficients of Riordan Matrices. Journal of Integer Sequences, 16. ISSN 1530-7638

Barry, Paul (2013) Generalized stirling numbers, Exponential riordan arrays, and toda chain equations. Journal of Integer Sequences, 17 (2). ISSN 1530-7638

Barry, Paul (2013) General eulerian polynomials as moments using exponential riordan arrays. Journal of Integer Sequences, 16 (9). pp. 1-15. ISSN 1530-7638

Bojičić, Radica and Petković, Marko D. and Barry, Paul (2013) The Hankel transform of aerated sequences. Integral Transforms and Special Functions, 24 (9). pp. 685-699. ISSN 1065-2469

Barry, Paul (2013) On the connection coefficients of the chebyshev-boubaker polynomials. The Scientific World Journal, 2013. ISSN 2356-6140

Rajković, Predrag M. and Barry, Paul and Petković, Marko D. (2012) Sobolev orthogonal polynomials in computing of Hankel determinants. Linear Algebra and Its Applications, 437 (10). pp. 2417-2428. ISSN 0024-3795

Bojičić, Radica and Petković, Marko D. and Barry, Paul (2012) The Hankel transform of a sequence obtained by series reversion. Integral Transforms and Special Functions, 23 (11). pp. 803-816. ISSN 1065-2469

Barry, Paul (2012) On the Hurwitz transform of sequences. Journal of Integer Sequences, 15 (8). ISSN 1530-7638

Barry, Paul (2012) Riordan-Bernstein polynomials, Hankel transforms and Somos sequences. Journal of Integer Sequences, 15 (8). ISSN 1530-7638

Barry, Paul (2012) A note on three families of orthogonal polynomials defined by circular functions, and their moment sequences. Journal of Integer Sequences, 15 (7). ISSN 1530-7638

Barry, Paul and Hennessy, Aoife (2012) Generalized Narayana polynomials, Riordan arrays, and lattice paths. Journal of Integer Sequences, 15 (4). ISSN 1530-7638

Barry, Paul and Hennessy, Aoife (2012) Four-term recurrences, orthogonal polynomials and Riordan arrays. Journal of Integer Sequences, 15 (4). ISSN 1530-7638

Petković, Marko D. and Barry, Paul and Rajković, Predrag (2012) Closed-form expression for Hankel determinants of the Narayana polynomials. Czechoslovak Mathematical Journal, 62 (1). pp. 39-57. ISSN 0011-4642

Barry, Paul and Hennessy, Aoife (2012) Four-term recurrences, orthogonal polynomials and Riordan arrays. Journal of Integer Sequences, 15. 12.4.2. ISSN 1530-7638

Barry, Paul and Hennessy, Aoife (2012) Generalized Narayana Polynomials, Riordan Arrays and Lattice Paths. Journal of Integer Sequences, 15. 12.4.8. ISSN 1530-7638

Barry, Paul (2012) A Note on Three Families of Orthogonal Polynomials defined by Circular Functions, and Their Moment Sequences. Journal of Integer Sequences, 15. ISSN 1530-7638

Barry, Paul (2012) On The Hurwitz Transform of Sequences. Journal of Integer Sequences, 15. ISSN 1530-7638

Barry, Paul (2012) Riordan-Bernstein Polynomials, Hankel Transforms and Somos Sequences. Journal of Integer Sequences, 15. 12.8.2. ISSN 1530-7638

Petković, Marko D. and Rajković, Predrag M. and Barry, Paul (2011) The Hankel transform of generalized central trinomial coefficients and related sequences. Integral Transforms and Special Functions, 22 (1). pp. 29-44. ISSN 1065-2469

Barry, Paul (2011) Combinatorial polynomials as moments, Hankel transforms and exponential Riordan arrays. Journal of Integer Sequences, 14. 11.6.7. ISSN 1530-7638

Barry, Paul (2011) Combinatorial polynomials as moments, Hankel transforms, and exponential Riordan arrays. Journal of Integer Sequences, 14 (6). ISSN 1530-7638

Barry, Paul (2011) Eulerian polynomials as moments, via exponential Riordan arrays. Journal of Integer Sequences, 14 (9). ISSN 1530-7638

Barry, Paul (2011) Eulerian polynomials as moments, via exponential Riordan arrays. Journal of Integer Sequences, 14. ISSN 1530-7638

Hennessy, Aoife and Barry, Paul (2011) Generalized Stirling numbers, exponential Riordan arrays and orthogonal polynomials. Journal of Integer Sequences, 14. 11.8.2. ISSN 1530-7638

Hennessy, Aoife and Barry, Paul (2011) Generalized Stirling numbers, exponential Riordan arrays, and orthogonal polynomials. Journal of Integer Sequences, 14 (8). ISSN 1530-7638

Barry, Paul (2011) A Note on Narayana Triangles and Related Polynomials, Riordan Arrays, and MIMO Capacity Calculations. Journal of Integer Sequences, 14 (2011). ISSN 1530-7638

Barry, Paul (2011) On a generalization of the Narayana triangle. Journal of Integer Sequences, 14 (4). pp. 1-22. ISSN 1530-7638

Barry, Paul (2011) On a generalization of the Narayana triangle. Journal of Integer Sequences. ISSN 1530-7638 (Submitted)

Barry, Paul (2011) On the Central Coefficients of Bell Matrices. Journal of Integer Sequences, 14. ISSN 1530-7638

Barry, Paul (2011) On the central coefficients of Bell matrices. Journal of Integer Sequences, 14 (4). pp. 1-10. ISSN 1530-7638

Barry, Paul (2011) Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Journal of Integer Sequences. (Submitted)

Barry, Paul (2011) Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Journal of Integer Sequences, 14 (2). ISSN 1530-7638

Barry, Paul and Hennessy, Aoife (2011) A note on narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations. Journal of Integer Sequences, 14 (3). pp. 1-26. ISSN 1530-7638

Barry, Paul and Hennessy, Aoife (2010) The Euler-Seidel matrix, Hankel matrices and moment sequences. Journal of Integer Sequences, 13 (8). pp. 1-15. ISSN 1530-7638

Barry, Paul (2010) Exponential Riordan arrays and permutation enumeration. Journal of Integer Sequences, 13 (9). pp. 1-16. ISSN 1530-7638

Barry, Paul (2010) Exponential Riordan arrays and permutation enumeration. Journal of Integer Sequences, 13. ISSN 1530-7638

Barry, Paul (2010) Generalized Catalan Numbers, Hankel transforms and Somos-4 Sequences. Journal of Integer Sequences, 13 (7). pp. 1-16. ISSN 1530-7638

Barry, Paul and Hennessy, Aoife (2010) Meixner-type results for Riordan arrays and associated integer sequences. Journal of Integer Sequences, 13. ISSN 1530-7638

Barry, Paul and Hennessy, Aoife (2010) Meixner-type results for Riordan arrays and associated integer sequences. Journal of Integer Sequences, 13 (9). pp. 1-34. ISSN 1530-7638

Barry, Paul (2010) The restricted Toda chain, exponential Riordan arrays, and Hankel transforms. Journal of Integer Sequences. (Submitted)

Barry, Paul (2010) The restricted Toda chain, exponential Riordan arrays, and Hankel transforms. Journal of Integer Sequences, 13 (8). pp. 1-19. ISSN 1530-7638

Barry, Paul (2009) Continued Fractions and Transformations of Integer Sequences. Journal of Integer Sequences, 12. ISSN 1530-7638

Barry, Paul (2009) Continued fractions and transformations of integer sequences. Journal of Integer Sequences, 12 (7). pp. 1-37. ISSN 1530-7638

Barry, Paul and Hennessy, Aoife (2009) Notes on a family of riordan arrays and associated integer hankel transforms. Journal of Integer Sequences, 12 (5). ISSN 1530-7638

Barry, Paul (2009) Symmetric third-order recurring sequences, Chebyshev polynomials, and Riordan arrays. Journal of Integer Sequences, 12 (8). pp. 1-30. ISSN 1530-7638

Barry, Paul (2009) A note on a one-parameter family of catalan-like numbers. Journal of Integer Sequences, 12 (5). ISSN 1530-7638

Barry, Paul (2008) A note on Krawtchouk polynomials and Riordan arrays. Journal of Integer Sequences, 11 (2). ISSN 1530-7638

Barry, Paul (2008) A Note on Krawtchouk Polynomials and Riordan Arrays. Journal of Integer Sequences, 11. ISSN 1530-7638

Barry, Paul and Fitzpatrick, Pat (2007) On a one-parameter family of Riordan arrays and the weight distribution of MDS codes. Journal of Integer Sequences, 10 (9). ISSN 1530-7638

Barry, Paul and Fitzpatrick, Patrick (2007) On a one-parameter family of riordan arrays and the weight distribution of MDS codes. Journal of Integer Sequences, 10 (9). ISSN 1530-7638

Barry, Paul (2007) On integer sequences associated with the cyclic and complete graphs. Journal of Integer Sequences, 10 (4). ISSN 1530-7638

Barry, Paul (2007) Some observations on the Lah and Laguerre transforms of integer sequences. Journal of Integer Sequences, 10 (4). ISSN 1530-7638

Barry, Paul (2007) On a family of generalized pascal triangles defined by exponential riordan arrays. Journal of Integer Sequences, 10 (3). ISSN 1530-7638

Rajkovic, Predrag M. and Petkovic, Marko D. and Barry, Paul (2007) The Hankel transform of the sum of consecutive generalized Catalan numbers. Integral Transforms and Special Functions, 18 (4). pp. 285-296. ISSN 1065-2469

Barry, Paul (2007) On a Family of Generalized Pascal Triangles defined by Exponential Riordan Arrays. Journal of Integer Sequences, 10 (3).

Barry, Paul (2007) On integer sequences associated to the cyclic and regular graphs. Journal of Integer Sequences, 10. Article 7.4.8.

Barry, Paul (2007) Some observations on the Lah and Laguerre transforms of integer sequences. Journal of Integer Sequences, 10. Art 7.4.6. ISSN 1530-7638

Barry, Paul (2006) On integer-sequence-based constructions of generalized pascal triangles. Journal of Integer Sequences, 9 (2). pp. 1-34. ISSN 1530-7638

Barry, Paul (2006) On integer-sequence-based constructions of generalized Pascal triangles, J. Integer Sequences. Journal of Integer Sequences, 9. ISSN 1530-7638

Barry, Paul (2005) A Catalan transform and related transformations on integer sequences. Journal of Integer Sequences, 8 (4). ISSN 1530-7638

Barry, Paul (2005) A Catalan transform and related transformations on integer sequences. Journal of Integer Sequences, 8. ISSN 1530-7638

Barry, Paul (2003) The Fourier Analysis of Bezier Curves. Journal of Visual Mathematics, 5 (4).

Barry, Paul (2003) Triangle Geometry and Jacobsthal Numbers. Irish Mathematical Society Bulletin, 51. pp. 45-57.

Book Section

Shapiro, Louis and Sprugnoli, Renzo and Barry, Paul and Cheon, Gi Sang and He, Tian Xiao and Merlini, Donatella and Wang, Weiping (2022) Combinatorial Sums and Inversions. In: Springer Monographs in Mathematics :. Springer Monographs in Mathematics . Springer Science and Business Media Deutschland GmbH, pp. 101-122.

Shapiro, Louis and Sprugnoli, Renzo and Barry, Paul and Cheon, Gi Sang and He, Tian Xiao and Merlini, Donatella and Wang, Weiping (2022) Extraction of Coefficients and Generating Functions. In: Springer Monographs in Mathematics :. Springer Monographs in Mathematics . Springer Science and Business Media Deutschland GmbH, pp. 19-46.

Barry, Paul and Rajković, Predrag M. and Petković, Marko D. (2011) An application of Sobolev orthogonal polynomials to the computation of a special Hankel determinant. In: Springer Optimization and Its Applications :. Springer Optimization and Its Applications . Springer International Publishing, pp. 53-60.

Monograph

Barry, Paul (2005) On a Family of Binomial Involutions and Related Integer Sequences. Technical Report. Waterford Institute of Technology, Waterford Institute of Technology. (Unpublished)

Thesis

Barry, Paul (2009) A Study of Integer Sequences, Riordan Arrays, Pascal-like Arrays and Hankel Transforms. PhD thesis, University College, Cork.

Other

Barry, Paul (2007) Some conjectures on the ratio of Hankel transforms for sequences and series reversion. arXiv.org.

Barry, Paul (2006) Simple closed form Hankel transforms based on the central coefficients of certain Pascal-like triangles. arXiv.org.

Rajkovic, P. and Petkovic, M.D and Barry, Paul (2006) The Hankel transform of the sum of two consecutive generalized Catalan numbers. arXiv.org.

This list was generated on Wed Apr 24 09:03:32 2024 UTC.