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Formula:DLMF:25.12:E10 - Revision history
2024-03-29T15:49:30Z
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2019-12-22T06:33:06Z
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https://drmf-beta.wmflabs.org/index.php?title=Formula:DLMF:25.12:E10&diff=2365&oldid=prev
imported>SeedBot: DRMF
2017-03-05T22:34:48Z
<p>DRMF</p>
<p><b>New page</b></p><div>{{DISPLAYTITLE:Formula:DLMF:25.12:E10}}<br />
<div id="drmf_head"><br />
<div id="alignleft"> << [[Formula:DLMF:25.12:E9|Formula:DLMF:25.12:E9]] </div><br />
<div id="aligncenter"> [[Polylogarithms#DLMF:25.12:E10|formula in Polylogarithms]] </div><br />
<div id="alignright"> [[Formula:DLMF:25.12:E11|Formula:DLMF:25.12:E11]] >> </div><br />
</div><br />
<br />
<br /><div align="center"><math>{\displaystyle <br />
\Polylogarithm{s}@{z} = \sum_{n=1}^\infty \frac{z^n}{n^s}<br />
}</math></div><br />
<br />
== Constraint(s) ==<br />
<br />
<div align="left">real or complex <math>{\displaystyle s}</math> and <math>{\displaystyle z}</math></div><br /><br />
<br />
== Proof ==<br />
<br />
We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.<br />
<br />
== Symbols List ==<br />
<br />
<span class="plainlinks">[http://dlmf.nist.gov/25.12#E10 <math>{\displaystyle \mathrm{Li}_{s}}</math>]</span> : polylogarithm : [http://dlmf.nist.gov/25.12#E10 http://dlmf.nist.gov/25.12#E10]<br /><br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:sum <math>{\displaystyle \Sigma}</math>]</span> : sum : [http://drmf.wmflabs.org/wiki/Definition:sum http://drmf.wmflabs.org/wiki/Definition:sum]<br />
<br /><br />
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== Bibliography==<br />
<br />
<span class="plainlinks">[HTTP://DLMF.NIST.GOV/25.12#E10 Equation (10), Section 25.12]</span> of [[Bibliography#DLMF|'''DLMF''']].<br />
<br />
== URL links ==<br />
<br />
We ask users to provide relevant URL links in this space.<br />
<br />
<br /><div id="drmf_foot"><br />
<div id="alignleft"> << [[Formula:DLMF:25.12:E9|Formula:DLMF:25.12:E9]] </div><br />
<div id="aligncenter"> [[Polylogarithms#DLMF:25.12:E10|formula in Polylogarithms]] </div><br />
<div id="alignright"> [[Formula:DLMF:25.12:E11|Formula:DLMF:25.12:E11]] >> </div><br />
</div></div>
imported>SeedBot