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.
H. Y. Lee. N. S. Jung. C. S. Ryoo. "A Note on the -Euler Numbers and Polynomials with Weak Weight ." J. Appl. Math. 2011 1 - 14, 2011. https://doi.org/10.1155/2011/497409