Difference between revisions of "Lerch transcendent"

From specialfunctionswiki
Jump to: navigation, search
Line 3: Line 3:
  
 
=Properties=
 
=Properties=
{{:Lerch transcendent polylogarithm}}
+
[[Lerch transcendent polylogarithm]]<br />
{{:Relationship between Lerch transcendent and Lerch zeta}}
+
[[Relationship between Lerch transcendent and Lerch zeta]]<br />
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]

Revision as of 16:32, 20 June 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