We construct a new type of q-Euler numbers and polynomials with weak weight , , respectively. Some interesting results and relationships are obtained. Also, we observe the behavior of roots of the q-Euler numbers and polynomials with weak weight α. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of q-Euler polynomials with weak weight α.
J. Appl. Math.
2011:
1-14
(2011).
DOI: 10.1155/2011/497409