Difference between revisions of "Legendre chi"
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[[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 /> | ||
| + | [[Legendre chi in terms of Lerch transcendent]]<br /> | ||
=References= | =References= | ||
Revision as of 00:01, 12 December 2016
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
Legendre chi in terms of polylogarithm
Catalan's constant using Legendre chi
Legendre chi in terms of Lerch transcendent
