On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

Figures & data

Figure 1. Zeros of ${\mathbb{A}}_{\omega ,\lambda }^{\left(2\right)}(\xi ;u)=0$.

Figure 2. Zeros of ${\mathbb{A}}_{\omega ,\lambda }^{\left(2\right)}(\xi ;u)=0$.

Table 1. Approximate solutions of ${\mathbb{A}}_{\omega ,\lambda }^{\left(2\right)}(\xi ;4)=0,\lambda =\frac{1}{10}$.

degree ω	ξ
3	$-0.33333$
4	$-0.28333-0.66479i,-0.28333+0.66479i$
5	$-0.71082,0.00541-1.22243i,0.00541+1.22243i$
6	$-0.75445-0.59160i,-0.75445+0.59160i,$
	$0.3878-1.7158i,0.3878+1.7158i$
7	$-1.0512,-0.63075-1.14062i,-0.63075+1.14062i,$
	$0.8230-2.1626i,0.8230+2.1626i$
8	$-1.13131-0.56548i,-1.13131+0.56548i,-0.4120-1.6548i,$
	$-0.4120+1.6548i,1.2933-2.5734i,1.2933+2.5734i$
9	$-1.3791,-1.0854-1.1059i,-1.0854+1.1059i,-0.1309-2.1398i,$
	$-0.1309+2.1398i,1.7892-2.9555i,1.7892+2.9555i$
10	$-1.4778-0.5514i,-1.4778+0.5514i,-0.9552-1.6232i,$
	$-0.9552+1.6232i,0.1949-2.5997i,0.1949+2.5997i,$
	$2.3048-3.3139i,2.3048+3.3139i$
11	$-1.7012,-1.4761-1.0861i,-1.4761+1.0861i,$
	$-0.7640-2.1197i,-0.7640+2.1197i,0.5544-3.0379i,$
	$0.5544+3.0379i,2.8363-3.6524i,2.8363+3.6524i$

Figure 3. Zeros of $C{\mathbb{G}}_{\omega ,\lambda }^{(F,r)}(\xi ;u)=0$.

Figure 4. Zeros of $C{\mathbb{G}}_{\omega ,\lambda }^{(F,r)}(\xi ;u)=0$.

Table 2. Approximate solutions of $C{\mathbb{G}}_{\omega ,\frac{1}{10}}^{(F,2)}(\xi ;3)=0$.

degree ω	ξ
3	$0.40000$
4	$0.90000-0.57879i,0.90000+0.57879i$
5	$0.47195,1.8640-1.1836i,1.8640+1.1836i$
6	$0.89016-0.19846i,0.89016+0.19846i,2.9098-1.7350i,$
	$2.9098+1.7350i$
7	$0.50506,1.7312-0.8228i,1.7312+0.8228i,$
	$4.0162-2.2423i,4.0162+2.2423i$
8	$0.60428,1.2650,2.6016-1.3597i,2.6016+1.3597i,$
	$5.1638-2.7132i,5.1638+2.7132i$
9	$0.50384,1.7707-0.5556i,1.7707+0.5556i,3.5360-1.8831i,$
	$3.5360+1.8831i,6.3414-3.1542i,6.3414+3.1542i$
10	$0.52280,1.4247,2.5641-1.0649i,2.5641+1.0649i,$
	$4.5199-2.3878i,4.5199+2.3878i,7.5423-3.5701i,7.5423+3.5701i$
11	$0.48645,1.8480-0.2986i,1.8480+0.2986i,3.4047-1.5757i,$
	$3.4047+1.5757i,5.5423-2.8741i,5.5423+2.8741i,$
	$8.7618-3.9647i,8.7618+3.9647i$