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Fermi-Dirac distribution |
discrete |
The Fermi-Dirac distribution
is used in statistical mechanics.
The sum for n = 0 into the infinite is a combination of a gamma function and a Lerch transcendent: eb Γ(a+1) Φ(-eb, a+1, 1).
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The sum for n = 0 into the infinite is a combination of a gamma function and a Lerch transcendent: eb Γ(a+1) Φ(-eb, a+1, 1). |