Dalam matematika, polilogaritma (juga dikenal sebagai fungsi Jonquière, untuk Alfred Jonquière) adalah fungsi khusus Lis(z) dengan orde s dan argumen z. Hanya untuk nilai-nilai khusus s, polilogaritma direduksi menjadi fungsi dasar seperti logaritma natural atau fungsi rasional. Dalam statistika kuantum, fungsi polilogaritma muncul sebagai bentuk tertutup integral dari distribusi Fermi–Dirac dan distribusi Bose–Einstein, dan juga dikenal sebagai integral Fermi–Dirac atau integral Bose–Einstein. Dalam elektrodinamika kuantum, polilogaritma dengan orde bilangan bulat positif muncul dalam kalkulasi proses yang direpresentasikan oleh diagram Feynman orde lebih tinggi.
Referensi
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Pranala luar
- Weisstein, Eric W. "Polylogarithm". MathWorld.
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- Algorithms in Analytic Number Theory provides an arbitrary-precision, GMP-based, GPL-licensed implementation.