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Incomplete polylogarithm : ウィキペディア英語版
Incomplete polylogarithm
In mathematics, the Incomplete Polylogarithm function is related to the polylogarithm function. It is sometimes known as the incomplete Fermi–Dirac integral or the incomplete Bose–Einstein integral. It may be defined by:
:
\operatorname_s(b,z) = \frac\int_b^\infty \frac-1}~dx.

Expanding about z=0 and integrating gives a series representation:
:
\operatorname_s(b,z) = \sum_^\infty \frac~\frac

where Γ(s) is the gamma function and Γ(s,x) is the upper incomplete gamma function.
== References ==

* GNU Scientific Library - Reference Manual https://www.gnu.org/software/gsl/manual/gsl-ref.html#SEC117

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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