Theory and Modern Applications
Table 11 Approximate solutions of \({}_{\mathcal{H}^{(r)}}\mathit{F}^{(c,\upsilon )}_{n}(x,y,z)\)
From: Construction of a new family of Fubini-type polynomials and its applications
Degree n | Real roots | Complex roots | |
|---|---|---|---|
1 | −8.0 | – | |
2 | −9.7321, −6.2679 | – | |
3 | −12.4486 | −5.7757 − 2.4171i, | −5.7757 + 2.4171i |
4 | −15.7331, −3.2498 | −6.5085 − 5.0405i, | −6.5085 + 5.0405i |
5 | −18.8334, −8.0471, −0.4824 | −6.3186 − 7.73086i, | −6.3186 + 7.73086i |
6 | −21.9822, 2.4281 | −8.4121 − 3.3098i, | −8.4121 + 3.3098i, |
−5.8108 − 10.0564i, | −5.81082 + 10.0564i | ||
7 | −25.1389, −9.3486, 5.3876 | −8.2941 − 5.9519i, | −8.2941 + 5.9519i, |
−5.1559 − 12.1304i, | −5.1559 + 12.1304i | ||