Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4653548 | European Journal of Combinatorics | 2014 | 23 Pages |
Abstract
Using the basic fact that any formal power series over the real or complex number field can always be expressed in terms of given polynomials {pn(t)}, where pn(t) is of degree n, we extend the ordinary Riordan array (resp. Riordan group) to a generalized Riordan array (resp. generalized Riordan group) associated with {pn(t)}. As new application of the latter, a rather general Vandermonde-type convolution formula and certain of its particular forms are presented. The construction of the Abel type identities using the generalized Riordan arrays is also discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Tian-Xiao He, Leetsch C. Hsu, Xing Ron Ma,