Legendre chi

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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[edit]

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[edit]

[1]