Calculating Zeros of the 𝑞-Genocchi Polynomials Associated with 𝑝-Adic 𝑞-Integral on ℤ_𝑝

Table 1

Numbers of real and complex zeros of 𝐺_𝑛,𝑞(𝑥).

Degree 𝑛	𝑞=1/2		𝑞=1/3
	Real zeros	Complex zeros	Real zeros	Complex zeros
1	1	0	1	0
2	2	0	2	0
3	3	0	3	0
4	4	0	4	0
5	3	2	3	2
6	4	2	4	2
7	5	2	5	2
8	4	4	6	2
9	5	4	5	4
10	4	6	4	6