Theory and Modern Applications
From: Certain results on a hybrid class of the Boas–Buck polynomials
Degree n | Real roots | Complex roots |
---|---|---|
1 | 6.0 | – |
2 | – | 7 − 3.6055 i, 7 + 3.6055 i |
3 | 11.0158 | 6.4921 − 6.5438 i, 6.4921 + 6.5438 i |
4 | – | 5.4531 − 9.1917 i, 5.4531 + 9.1917 i, |
12.5469 − 2.5837 i, 12.5469 + 2.5837 i | ||
5 | 16.5244 | 4.1237 − 11.5904 i, 4.1237 + 11.5904 i, |
12.6141 − 5.3208 i, 12.6141 + 5.3208 i | ||
6 | – | 2.5968 − 13.7943 i, 2.5968 + 13.7943 i, |
12.3359 − 8.0810 i, 12.3359 + 8.0810 i, | ||
18.0672 − 1.3250 i, 18.0672 + 1.3250 i | ||
7 | 22.6802 | 0.9244 − 15.8430 i, 0.9244 + 15.8430 i, |
11.7720 − 10.6952 i, 11.7720 + 10.6952 i, | ||
17.9634 − 4.2342 i, 17.9634 + 4.2342 i | ||
8 | 21.9201, 25.7017 | −0.8611 − 17.7645 i, −0.8611 + 17.7645 i, |
10.9879 − 13.1768 i, 10.9879 + 13.1768 i, | ||
18.0622 − 7.0034 i, 18.0622 + 7.0034 i |