polylog_minus_exp_mu: Polylogarithm function with negative argument

In polykde: Polyspherical Kernel Density Estimation

Polylogarithm function with negative argument

Description

Computation of the polylogarithm \mathrm{Li}_s(-e^\mu).

Usage

polylog_minus_exp_mu(mu, s, upper = Inf, ...)

Arguments

mu	vector with exponents of the negative argument.
s	vector with indexes of the polylogarithm.
upper	upper limit of integration. Defaults to Inf.
...	further arguments passed to integrate, such as upper, abs.tol, rel.tol, etc.

Details

If s is an integer, 1/2, 3/2, or 5/2, then routines from the GSL library to compute Fermi–Dirac integrals are called. Otherwise, numerical integration is used.

Value

A vector of size length(mu) or length(s) with the values of the polylogarithm.

Examples

polylog_minus_exp_mu(mu = 1:5, s = 1)
polylog_minus_exp_mu(mu = 1, s = 1:5)
polylog_minus_exp_mu(mu = 1:5, s = 1:5)

polykde documentation built on April 16, 2025, 1:11 a.m.