| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6419744 | Advances in Applied Mathematics | 2012 | 25 Pages |
Abstract
We find an enumeration formula for a (t,q)-Euler number which is a generalization of the q-Euler number introduced by Han, Randrianarivony, and Zeng. We also give a combinatorial expression for the (t,q)-Euler number and find another formula when t=±qr for any integer r. Special cases of our latter formula include the formula of the q-Euler number recently found by Josuat-Vergès and Touchard-Riordanʼs formula.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jang Soo Kim,