AbstractA sequence of binomial type is a basis for R[x] satisfying a binomial-like identity, e.g. powers, rising and falling factorials. Given two sequences of binomial type, the authors describe a totally combinatorial way of finding the change of basis matrix: to each pair of sequences is associated a poset whose Whitney numbers of the 1st and 2nd kind give the entries of the matrix and its inverse
AbstractA binomial coefficient identity equivalent to Saalschutz's summation of a 3F2 hypergeometric...
We study generating functions of strict and non-strict order polynomials of series-parallel posets, ...
AbstractThe theory of binomial enumeration leads to sequences of functions of binomial type which ar...
A sequence of binomial type is a basis for [x] satisfying a binomial-like identity, e.g. powers, ris...
AbstractA sequence of binomial type is a basis for R[x] satisfying a binomial-like identity, e.g. po...
AbstractThe theory of binomial enumeration leads to sequences of functions of binomial type which ar...
AbstractA unified method is presented for enumerating permutations of sets and multisets with variou...
AbstractA family of polynomial sequences, named G-R-sequences, is introduced and its connections wit...
AbstractA paper by D.L. Reiner researched function sequences of binomial type and established many i...
Sequences of binomial type are thoroughly structured polynomial sequences. We view them as being par...
Using sequences of finite length with positive integer entries and the inversion statistic on such s...
AbstractThe problem of proving a particular binomial identity is taken as an opportunity to discuss ...
Abstract. In this paper, we show that the solution to a large class of “tiling” problems is given by...
AbstractGeneralized binomial coefficients of the first and second kind are defined in terms of objec...
AbstractThis paper gives a brief exposition of several recent results obtained by the authors concer...
AbstractA binomial coefficient identity equivalent to Saalschutz's summation of a 3F2 hypergeometric...
We study generating functions of strict and non-strict order polynomials of series-parallel posets, ...
AbstractThe theory of binomial enumeration leads to sequences of functions of binomial type which ar...
A sequence of binomial type is a basis for [x] satisfying a binomial-like identity, e.g. powers, ris...
AbstractA sequence of binomial type is a basis for R[x] satisfying a binomial-like identity, e.g. po...
AbstractThe theory of binomial enumeration leads to sequences of functions of binomial type which ar...
AbstractA unified method is presented for enumerating permutations of sets and multisets with variou...
AbstractA family of polynomial sequences, named G-R-sequences, is introduced and its connections wit...
AbstractA paper by D.L. Reiner researched function sequences of binomial type and established many i...
Sequences of binomial type are thoroughly structured polynomial sequences. We view them as being par...
Using sequences of finite length with positive integer entries and the inversion statistic on such s...
AbstractThe problem of proving a particular binomial identity is taken as an opportunity to discuss ...
Abstract. In this paper, we show that the solution to a large class of “tiling” problems is given by...
AbstractGeneralized binomial coefficients of the first and second kind are defined in terms of objec...
AbstractThis paper gives a brief exposition of several recent results obtained by the authors concer...
AbstractA binomial coefficient identity equivalent to Saalschutz's summation of a 3F2 hypergeometric...
We study generating functions of strict and non-strict order polynomials of series-parallel posets, ...
AbstractThe theory of binomial enumeration leads to sequences of functions of binomial type which ar...
DOI
Add to ORKG