Difference between revisions of "Legendre chi"
From specialfunctionswiki
(→Properties) |
|||
| Line 3: | Line 3: | ||
=Properties= | =Properties= | ||
| − | [[Derivative of Legendre chi]]<br /> | + | [[Derivative of Legendre chi 2]]<br /> |
[[Legendre chi in terms of polylogarithm]]<br /> | [[Legendre chi in terms of polylogarithm]]<br /> | ||
[[Catalan's constant using Legendre chi]]<br /> | [[Catalan's constant using Legendre chi]]<br /> | ||
Latest revision as of 17:48, 25 June 2017
The Legendre chi function $\chi_{\nu}$ is defined by $$\chi_{\nu}(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{z^{2k+1}}{(2k+1)^{\nu}}.$$
Properties
Derivative of Legendre chi 2
Legendre chi in terms of polylogarithm
Catalan's constant using Legendre chi
Legendre chi in terms of Lerch transcendent
