Difference between revisions of "Legendre chi"

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(Properties)
 
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=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

References

[1]