Legendre chi

From specialfunctionswiki
Revision as of 17:48, 25 June 2017 by Tom (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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]