(2018) The Ring of T $\mathcal {T}$ -covariants. Algebras and Representation Theory 21:3, 511-527. Crossref

(2018) Curious congruences related to the Bell polynomials. Quaestiones Mathematicae 41:3, 437-448. Crossref

Krzysztof Domino, Piotr Gawron, and Łukasz Pawela. (2018) Efficient Computation of Higher-Order Cumulant Tensors. SIAM Journal on Scientific Computing 40:3, A1590-A1610. Abstract | PDF (657 KB) 

(2017) An explicit form of the polynomial part of a restricted partition function. Research in Number Theory 3:1. Crossref

(2017) Divisibility properties of the r -Bell numbers and polynomials. Journal of Number Theory 177, 136-152. Crossref

(2016) Orthogonal polynomials through the invariant theory of binary forms. Advances in Mathematics 303, 123-150. Crossref

(2016) Generalized Boole numbers and polynomials. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 110:2, 823-839. Crossref

(2016) General convolution identities for Bernoulli and Euler polynomials. Journal of Mathematical Analysis and Applications 435:2, 1478-1498. Crossref

(2014) On a symbolic representation of non-central Wishart random matrices with applications. Journal of Multivariate Analysis 125, 121-135. Crossref

(2013) On Some Applications of a Symbolic Representation of Non Centered Lévy Processes. Communications in Statistics - Theory and Methods 42:21, 3974-3988. Crossref

(2013) A new family of time-space harmonic polynomials with respect to Lévy processes. Annali di Matematica Pura ed Applicata 192:5, 917-929. Crossref

(2013) A symbolic treatment of Riordan arrays. Linear Algebra and its Applications 439:7, 1700-1715. Crossref

(2013) Outcomes of the Abel Identity. Mediterranean Journal of Mathematics 10:3, 1141-1150. Crossref

(2013) An umbral approach to find q -analogues of matrix formulas. Linear Algebra and its Applications 439:4, 1167-1182. Crossref

(2012) Multivariate Bernoulli and Euler polynomials via Lévy processes. Applied Mathematics Letters 25:9, 1179-1184. Crossref

(2012) Symbolic solutions of some linear recurrences. Journal of Statistical Planning and Inference 142:2, 423-429. Crossref

2012. The q-umbral calculus and semigroups. The Nørlund calculus of finite differences. A Comprehensive Treatment of q-Calculus, 97-167. Crossref

2012. The different languages of q-calculus. A Comprehensive Treatment of q-Calculus, 27-61. Crossref

(2011) A symbolic handling of Sheffer polynomials. Annali di Matematica Pura ed Applicata 190:3, 489-506. Crossref

(2011) A new algorithm for computing the multivariate Faà di Bruno’s formula. Applied Mathematics and Computation 217:13, 6286-6295. Crossref

(2010) Cumulants and convolutions via Abel polynomials. European Journal of Combinatorics 31:7, 1792-1804. Crossref

(2010) A new approach to Sheppard’s corrections. Mathematical Methods of Statistics 19:2, 151-162. Crossref

(2009) A new method for fast computing unbiased estimators of cumulants. Statistics and Computing 19:2, 155-165. Crossref

(2009) On the computation of classical, boolean and free cumulants. Applied Mathematics and Computation 208:2, 347-354. Crossref

2009. A Symbolic Treatment of Abel Polynomials. From Combinatorics to Philosophy, 183-196. Crossref

2009. The Eleventh and Twelveth Problems of Rota’s Fubini Lectures: from Cumulants to Free Probability Theory. From Combinatorics to Philosophy, 91-130. Crossref

(2008) Symbolic computation of moments of sampling distributions. Computational Statistics & Data Analysis 52:11, 4909-4922. Crossref

(2007) Alternating permutations and symmetric functions. Journal of Combinatorial Theory, Series A 114:3, 436-460. Crossref

(2006) A symbolic method for <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>k</mml:mi></mml:math>-statistics. Applied Mathematics Letters 19:9, 968-975. Crossref

(2006) An umbral setting for cumulants and factorial moments. European Journal of Combinatorics 27:3, 394-413. Crossref

2006. Computations with Exact Numbers. The Mathematica GuideBook for Numerics, 968-1189. Crossref

(2005) Boson normal ordering via substitutions and Sheffer-type polynomials. Physics Letters A 338:2, 108-116. Crossref

(2005) Umbral calculus in positive characteristic. Advances in Applied Mathematics 34:1, 175-191. Crossref

2003. Stochastic Integrals: A Combinatorial Approach. Gian-Carlo Rota on Analysis and Probability, 315-341. Crossref

2003. Simultaneously Band and Space Limited Functions in Two Dimensions, and Receptive Fields of Visual Neurons. Perspectives and Problems in Nolinear Science, 375-419. Crossref

(2001) Polynomial Rings in Which Delta Operators are Derivations. European Journal of Combinatorics 22:8, 1059-1064. Crossref

(2001) Umbral presentations for polynomial sequences. Computers & Mathematics with Applications 41:9, 1085-1098. Crossref

(2001) A set-theoretic interpretation of the umbral calculus. Computers & Mathematics with Applications 41:9, 1109-1124. Crossref

(2001) An umbral calculus over inifinite coefficient fields of positive characteristic. Computers & Mathematics with Applications 41:9, 1099-1108. Crossref

(2001) Angular momentum theory, umbral calculus, and combinatorics. Computers & Mathematics with Applications 41:9, 1199-1214. Crossref

2001. What is invariant theory, really?. Algebraic Combinatorics and Computer Science, 41-56. Crossref

2001. Umbral nature of the Poisson random variables. Algebraic Combinatorics and Computer Science, 245-266. Crossref

(2000) On the Combinatorics of Cumulants. Journal of Combinatorial Theory, Series A 91:1-2, 283-304. Crossref

2000. On the Combinatorics of Cumulants. Gian-Carlo Rota on Analysis and Probability, 355-376. Crossref

(1999) Two turning points in invariant theory. The Mathematical Intelligencer 21:1, 20-27. Crossref

(1998) The Combinatorics of a Class of Representation Functions. Advances in Mathematics 140:2, 207-236. Crossref

1998. Universal Constructions in Umbral Calculus. Mathematical Essays in honor of Gian-Carlo Rota, 343-357. Crossref

1998. Difference Equations via the Classical Umbral Calculus. Mathematical Essays in honor of Gian-Carlo Rota, 397-411. Crossref