double BoseEinsteinCDF(double x, double Mu, double s);
Bose-Einstein normalization integral (CDF form).
| # | Name | Type | Description |
|---|---|---|---|
| 1 | x | double | Function domain, real value. NOTE: x is ignored by this routine. |
| 2 | Mu | double | Location (chemical-potential) parameter, real value. |
| 3 | s | double | Shape parameter, real value. |
Returns: the Bose-Einstein normalization constant. The result is INDEPENDENT of x.
Remarks:
Returns the closed-form normalization integral of the Bose-Einstein weight over (0,inf), expressed with the Lerch transcendent Phi:
F(mu,s)=e^(mu) Gamma(s+1) Phi(e^(mu), s+1, 1)
The value does not depend on x (the parameter is accepted only for signature symmetry). The internal real-valued Lerch series converges for e^(mu) <= 1, i.e. mu <= 0.
Declared in Dew::Math::Units::Probabilities · Dew.Math/Units.Probabilities.h · Cross-compiler