All Questions
Tagged with polylogarithm systems-of-equations
2
questions
1
vote
0
answers
76
views
Solving a set of implicit equations involving Polylogarithms
I have the following simultaneous equations:
\begin{aligned}
&H(\lambda) = a\, \text{Li}_{3/2}\left(b\frac{H(\lambda)}{F(\lambda)}\right), \; \\&H(\lambda) = c\, \text{Li}_{3/2}\left(d \, \...
2
votes
0
answers
135
views
Analytically solving (finding a maxima) a system of equations involving PolyLog functions (Fermi-Dirac Integrals)
I have the following system of equations involving PolyLog functions (Fermi Dirac Integrals) where $d,t\in \mathbb{Z}$ and $d,t >0$ such that
$$
J = J_0 \cdot \left[F_{\frac{d-1}{t}}\left(\eta\...
- 119