Items where Author is "Barry, Paul"

Article

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 n/a. (Unpublished)

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

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 and Hennessy, A. (2012) Riordan arrays and the LDU decomposition of symmetric Toeplitz plus Hankel matrices. Linear Algebra and Its Applications, 437 (6). pp. 1380-1393.

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

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) 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

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. 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) Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Journal of Integer Sequences. ISSN 1530-7638 (Submitted)

Barry, Paul (2010) Exponential Riordan arrays and permutation enumeration. 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. ISSN 1530-7638

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

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

Barry, Paul (2009) Continued Fractions and Transformations of Integer Sequences. Journal of Integer Sequences, 12. 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). Article 09.5.3. ISSN 1530-7638

Barry, Paul (2009) A note on a one-parameter family of Catalan-like numbers. Journal of Integer Sequences, 12 (5). Article 09.5.4. 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

Rajkovic, P. and Petkovic, M.D and Barry, Paul (2007) The Hankel transform of the sum of consecutive generalized Catalan numbers. Journal of 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). ISSN 1530-7638

Barry, Paul (2007) On integer sequences associated to the cyclic and regular graphs. Journal of Integer Sequences, 10. Article 7.4.8. ISSN 1530-7638

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, 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. 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.

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.

Barry, Paul (2005) On a Family of Binomial Involutions and Related Integer Sequences. UNSPECIFIED. (Unpublished)