Papers related to the Riordan matrices We welcome to know any papers related to Riordan matrices not included in the following list. Any one can add new paper by using THIS SYSTEM. ¡à 2016 G.-S. Cheon and J.-H. Jung, The $q$-Sheffer sequences of a new type and associated orthogonal polynomials, Linear Algebra Appl. 491 (2016) 171-186. G.-S. Cheon, S.-T. Jin and L. W. Shapiro, A combinatorial equivalence relation for formal power series, Linear Algebra Appl. 491 (2016) 123-137. H. Kim and R. P. Stanley, A refined enumeration of hex trees and related polynomials, European J. Comb. 54 (2016) 207-219. G.-S. Cheon, H. Kim and L. W. Shapiro, A link between ordered trees and green-red trees, J. Korean Math. Soc. 53 (2016) 187-199. ¡à 2015 G.-S. Cheon and H. Kim, Representing polynomials as characteristic polynomials via the Stieltjes transform, Linear Algebra Appl. 476 (2015) 184-196. ¡à 2014 G.-S. Cheon, B. D. Choi and S.-T. Jin, An application of Riordan arrays to the transient analysis of M/M/1 queues, Appl. Math. Comput. 237 (2014) 659-671. N. Tuglu, F. Yesil, E. G. Kocer and M. Dziemianczuk, The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients, Journal of Applied Mathematics 2014 (2014) ID 841826. ¡à 2013 G.-S. Cheon and H. Kim, The elements of finite order in the Riordan group over the complex field, Linear Algebra Appl. 439 (2013) 4032-4046. G.-S. Cheon and H. Kim, A new aspect of Hankel matrices via Krylov matrix, Linear Algebra Appl. 438 (2013) 361-373. G.-S. Cheon, J.-H. Jung and Y. Lim, A $q$-analogue of the Riordan group, Linear Algebra Appl. 439 (2013) 4119-4129. G.-S. Cheon, J.-H. Jung and L. W. Shapiro, Generalized Bessel numbers and some combinatorial settings, Discrete Math. 313 (2013) 2127-2138. G.-S. Cheon and Y. Lim, Integral polynomial sequences arising from matrix powers of order 2, Linear Algebra Appl. 438 (2013) 269-287. ¡à 2012 G.-S. Cheon and J.-H. Jung, $r$-Whitney numbers of Dowling lattices, Discrete Math. 312 (2012) 2337-2348. G.-S. Cheon and L. W. Shapiro, The uplift principle for ordered trees, Appl. Math. Lett. 25 (2012) 1010-1015. G.-S. Cheon and I. M. Wanless, Some results towards the Dittert conjecture on permanents, Linear Algebra Appl. 436 (2012) 791-801. G.-S. Cheon, H. Kim and L. W. Shapiro, Combinatorics of Riordan arrays with identical A and Z sequences, Discrete Math. 312 (2012) 2040-2049. ¡à 2011 G.-S. Cheon and T. Mansour, Rational combinations for the sums involving inverse binomial coefficients, Appl. Math. Comput. 218 (2011) 2641-2646. G.-S. Cheon and S.-T. Jin, Structural properties of Riordan matrices and extending the matrices, Linear Algebra Appl. 435 (2011) 2019-2032. G.-S. Cheon, H. Kim and L. W. Shapiro, The hitting time subgroup, ¨©ukasiewicz paths and Faber polynomials, Eur. J. Combin. 32 (2011) 82-91. ¡à 2010 G.-S. Cheon, H. Kim and L. W. Shapiro, An algebraic structure of Faber polynomials, Linear Algebra Appl. 433 (2010) 2019-2032. G.-S. Cheon, S.-G. Lee and L. W. Shapiro, The Fine numbers refined, Eur. J. Combin. 31 (2010) 120-128. ¡à 2009 G.-S. Cheon, H. Kim and L. W. Shapiro, A generalization of Lucas polynomial sequence, Discrete Appl. Math. 157 (2009) 920-927. G.-S. Cheon and A. W. Eckford, A relationship between subpermanents and the arithmetic-geometric mean inequality, Linear Algebra Appl. 430 (2009) 114-120. G.-S. Cheon, S.-T. Jin, H. Kim and L. W. Shapiro, Riordan group involutions and the ¥Ä-sequence, Discrete Appl. Math. 157 (2009) 1696-1701. ¡à 2008 P. Barry, A note on Krawtchouk polynomials and Riordan arrays, J. of Integer Sequences 11 (2008) 08.2.2.. G.-S. Cheon, and M. E. A. El-Mikkawy, Generalized harmonic numbers with Riordan arrays, J. of Number Theory 128 (2008) 413-425. G.-S. Cheon, and H. Kim, Simple proofs of open problems about the structure of involutions in the Riordan group, Linear Algebra and its Applications 428 (2008) 930-940. D. Merlini, Proper generating trees and their internal path length, Discrete Applied Mathematics 156 (2008) 627-646. G.-S. Cheon and L. W. Shapiro, Protected points in ordered trees, Appl. Math. Lett. 21 (2008) 516-520. D. Baccherini, D. Merlini, and R. Sprugnoli, Level generating trees and proper Riordan arrays, Applicable Analysis and Discrete Mathematics 2 (2008) 69-91. G.-S. Cheon, H. Kim, and L. W. Shapiro, Riordan group involutions, Linear Algebra and its Applications 428 (2008) 941-952. ¡à 2007 Y.-D. Sun, and C.Jia, Counting Dyck paths with strictly increasing peak sequences, J. Math. Res. Exposition 27 (2007) 253-263. P. Barry, and P. Fitzpatrick, On a one-parameter family of Riordan arrays and the weight distribution of MDS codes, J. of Integer Sequences 9 (2007) 07.9.8.. P. Barry, On a family of generalized Pascal triangles defined by exponential Riordan arrays, J. of Integer Sequences 10 (2007) 07.3.5.. W. Y. C. Chen, N. Y. Li, L. W. Shapiro, and S. H. F.Yan, Matrix identities on weighted partial Motzkin paths, European J. Combinatorics 28 (2007) 1196-1207. J. L. Diaz-Barrero, J. Gibergans-Baguena, and P. G. Popescu, Some identities involving rational sums, Applicable Analysis and Discrete Mathematics 1 (2007) 397-402. T. X. He, L. C. Hsu, and P. J.-S. Shiue, The Sheffer Group and the Riordan Group, Discrete Applied Mathematics 155 (2007) 1895-1909. P. Barry, Some observations on the Lah and Laguerre transforms of integer sequences, J. of Integer Sequences 10 (2007) 07.4.6.. D. Merlini,and R. Sprugnoli, Playing with some identities of Andrews, J. of Integer Sequences 10 (2007) 07.9.5.. ¡à 2006 G.-S. Cheon, M. E. A. El-Mikkawy, and H.-G. Seol, New identities for Stirling numbers via Riordan arrays, J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math 13 (2006) 311-318. D. Merlini, R. Sprugnoli, and M. C. Verri, The Cauchy numbers, Discrete Mathematics 306 (2006) 1906-1920. D. Merlini, R. Sprugnoli, and M. C. Verri, Combinatorial inversions and implicit Riordan arrays, Electronic Notes on Discrete Mathematics - Combinatorics 2006 26 (2006) 103-110. ¡à 2005 N. T. Cameron, and A. Nkwanta, On some (pseudo) involutions in the Riordan group, J. of Integer Sequences 8 (2005) 05.3.7.. M. C. Wilson, Asymptotics for generalized Riordan arrays, 2005 Int. Conf. on Analysis of Algorithms - Discrete Math. Theor. Comput. Sci. Proc AD (2005) 323-333. D. Merlini, R. Sprugnoli, and M. C. Verri, The Akiyama-Tanigawa transformation, Integers 5 (2005) A5. G. P. Egorychev, and E. V. Zima, Decomposition and group theoretic characterization of pairs of inverse relations of the Riordan type, Acta Applicandae Mathematicae 85 (2005) 93-109. E. Munarini, Enumeration of order ideals of a garland, Ars Combinatorica 76 (2005) 185-192. W.-J. Woan, and D. Hough, Lattice paths and subgroups of Riordan group, Congressus Numerantium 177 (2005) 45-49. A. Nkwanta, and L. W. Shapiro, Pell walks and Riordan matrices, Fibonacci Quarterly 43 (2005) 170-180. P. Peart, W.-J. Woan, and B. Tankersley, Algebraic and combinatorial interpretations of the Genocchi triangle, Congressus Numerantium 175 (2005) 45-51. L. W. Shapiro, The average is one, Congressus Numerantium 176 (2005) 3-10. P. Barry, A Catalan transform and related transformations on integer sequences, J. of Integer Sequences 8 (2005) 05.4.5.. ¡à 2004 D. Merlini, R. Sprugnoli, and M. C. Verri, Waiting patterns for a printer, Discrete Applied Mathematics 144 (2004) 359-373. D. Merlini, F. Uncini, and M. C. Verri, A unified approach to the study of general and palindromic compositions, Integers 4 (2004) A23. M. Tan, and T. Wang, Lah matrix and its algebraic properties, Ars Combinatorica 70 (2004) 97-108. X. Zhao, S. Ding, and T. Wang, Some summation rules related to the Riordan arrays, Discrete Mathematics 281 (2004) 295-307. ¡à 2003 A. Nkwanta, A Riordan matrix approach to unifying a selected class of combinatorial arrays, Congressus Numerantium 160 (2003) 33-45. L. W.Shapiro, Bijections and the Riordan group, Theoretical Computer Science 307 (2003) 403-413. X. Zhao, and T. Wang, Some identities related to reciprocal functions, Discrete Mathematics 265 (2003) 323-335. D. H. Yin, Riordan array / partial monoid, J. Math. Res. Exposition 23 (2003) 253-260. D. S. Hough, and L. W. Shapiro, The noncrossing descent matrix is Riordan, Congressus Numerantium 162 (2003) 83-96. ¡à 2002 I-C. Huang, Inverse relations and Schauder bases, J. Combin. Theory Ser. A 97 (2002) 203-224. D. Merlini, and R. Sprugnoli, A Riordan array proof of a curious identity, Integers 2 (2002) A8. W. Lang, On polynomials related to derivatives of the generating function of Catalan numbers, Fibonacci Quarterly 40 (2002) 299-313. D. Li, and S. Shang, Several computing formulas for combinatorial sums, Appl. Math. J. Chinese Univ. Ser. B 17 (2002) 119-124. L. W. Shapiro, Catalan trigonometry, Congressus Numerantium 156 (2002) 129-136. Q.-W. Zhang, and X.-R. Ma, The ordinary Bailey lemma and Riordan chain, J. Math. Res. Exposition 22 (2002) 401-406. X. Zhao, and S. Ding, Sequences related to Riordan arrays, Fibonacci Quarterly 40 (2002) 247-252. D. Merlini, R. Sprugnoli, and M. C. Verri, The tennis ball problem, J. Combinatorial Theory Ser. A 99 (2002) 307-344. ¡à 2001 X. Q. Zhao, Y. F. Zhang and A. W. Liang, A method of forming normal Riordan matrices(chinese), J. Luoyang Univ. 4 (2001) 4-5. L. W. Shapiro, Some open questions about random walks, involutions, limiting distributions, and generating functions, Advances in Applied Mathematics 27 (2001) 585-596. ¡à Before 2000 P. Peart, and W.-J. Woan, A divisibility property for a subgroup of Riordan matrices, Discrete Applied Mathematics 98 (2000) 255-263. D. Merlini, and M. C. Verri, Generating trees and proper Riordan arrays, Descrete Mathematics 218 (2000) 167-183. P. Peart, and W.-J. Woan, Generating functions via Hankel and Stieltjes matrices, J. of Integer Sequences 3 (2000) 00.2.1.. M. Aigner, Catalan-like numbers and determinants, J. of Combinatorial Theory Ser. A 87 (1999) 33-51. A. Nkwanta, and N. Knox, A note on Riordan matrices, African Americans in Mathematics II (1999) 99-107. M. Aigner, A characterization of Bell numbers, Discrete Mathematics 205 (1999) 207-210. D. S. Yin, Riordan groups and three generalized identities, J. Dalian Univ. Tech. 39 (1999) 6-11. X. R. Ma, Inverse chains of the Riordan group and their applications to combinatorial sums(chinese), J. Math. Res. Exposition 19 (1999) 445-451. X. R. Ma, A generaliuzation of the Kummer identity and its application to Fibonacci-Lucas sequences, FibonacciQuarterly 36 (1998) 339-347. C. Corsani, D. Merliniand R. Sprugnoli, Left inversion of combinatorial sums, Discrete Mathematics 180 (1998) 107-122. D. Merlini, D. G. Rogers, R. Sprugnoli, and M. C. Verri, On some alternative characterizations of Riordan arrays, Canadian J. Mathematics 49 (1997) 301-320. D. Merlini, R. Sprugnoli, and M. C. Verri, A uniform model for the storage utilization of B-tree-like structures, Information Processing Letters 57 (1996) 53-58. S. Getu, and L.W. Shapiro, Lattice paths and Bessel functions, Congressus Numerantium 108 (1995) 161-169. R. Sprugnoli, Riordan arrays and the Abel-Gould identity, Discrete Mathematics 142 (1995) 213-233. L. W. Shapiro, A survey of the Riordan Group, Talk at a meeting of the American Mathematical Society Richmond, Virginia (1994) . D. Merlini, R. Sprugnoli, and M. C. Verri, Algebraic and combinatorial properties of simple, coloured walks, Trees in Algebra and Programming - LNCS 787 (1994) 218-233. R. Sprugnoli, Riordan arrays and combinatorial sums, Discrete Mathematics 132 (1994) 267-290. P. Peart, and L. Woodson, Triple factorization of some Riordan matrices, Fibonacci Quarterly 31 (1993) 121-128. L. W. Shapiro, S. Getu, W.-J. Woan, and L. Woodson, The Riordan group, Discrete Applied Mathematics 34 (1991) 229-239. D. G. Rogers, Pascal triangles, Catalan numbers and renewal arrays, Discrete Mathematics 22 (1978) 301-310.