Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419685 | Advances in Applied Mathematics | 2011 | 10 Pages |
Abstract
L. Shapiro found an elegant formula for the self-convolution of the even subscripted terms in the Catalan sequence. This paper provides a natural q-analog of Shapiroʼs formula together with three proofs, one of which is purely combinatorial.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
George E. Andrews,