Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900488 | Advances in Applied Mathematics | 2018 | 26 Pages |
Abstract
Springer numbers are analogous Euler numbers that count the alternating permutations of type B, called snakes. Josuat-Vergès derived bivariate polynomials Qn(t,q) and Rn(t,q) as generalized Euler numbers via successive q-derivatives and multiplications by t on polynomials in t. The other goal in this paper is to give a combinatorial interpretation of Qn(t,q) and Rn(t,q) as the enumerators of the snakes with restrictions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Sen-Peng Eu, Tung-Shan Fu, Hsiang-Chun Hsu, Hsin-Chieh Liao,