Difference between revisions of "Lerch transcendent"
From specialfunctionswiki
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[[Relationship between Lerch transcendent and Lerch zeta]]<br /> | [[Relationship between Lerch transcendent and Lerch zeta]]<br /> | ||
[[Dirichlet beta in terms of Lerch transcendent]]<br /> | [[Dirichlet beta in terms of Lerch transcendent]]<br /> | ||
| + | [[Legendre chi in terms of Lerch transcendent]]<br /> | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 00:05, 12 December 2016
The Lerch transcendent $\Phi$ is defined by $$\Phi(z,s,a)=\displaystyle\sum_{k=0}^{\infty} \dfrac{z^k}{(a+k)^s}.$$
Properties
Lerch transcendent polylogarithm
Relationship between Lerch transcendent and Lerch zeta
Dirichlet beta in terms of Lerch transcendent
Legendre chi in terms of Lerch transcendent
