International Scholarly Research Notices

Research Article

Generalized 𝑤 -Euler Numbers and Polynomials

Table 1

Numbers of real and complex zeros of 𝐸 𝑛 , 𝑤 ( 𝑥 ∶ 𝑎 ) .
𝑤 = 2 , 𝑎 = 2 𝑤 = 3 , 𝑎 = 3
𝑛 Real zeros Complex zeros Real zeros Complex zeros
1 1 0 1 0
2 2 0 2 0
3 3 0 1 2
4 2 2 2 2
5 32 3 2
6 4 2 2 4
7 52 3 4
8 4 4 4 4
9 3 6 3 6
10 4 6 4 6
11 3 8 5 6
12 4 8 4 8
13 5 8 5 8