https://drmf-beta.wmflabs.org/index.php?title=Formula:DLMF:25.5:E8&feed=atom&action=history
Formula:DLMF:25.5:E8 - Revision history
2024-03-28T13:36:17Z
Revision history for this page on the wiki
MediaWiki 1.42.0-wmf.12
https://drmf-beta.wmflabs.org/index.php?title=Formula:DLMF:25.5:E8&diff=2777&oldid=prev
Move page script: Move page script moved page Formula:DLMF:25.5:E8 to F:DLMF:25.5:E8
2019-12-22T06:33:23Z
<p>Move page script moved page <a href="/wiki/Formula:DLMF:25.5:E8" title="Formula:DLMF:25.5:E8">Formula:DLMF:25.5:E8</a> to <a href="/index.php?title=F:DLMF:25.5:E8&action=edit&redlink=1" class="new" title="F:DLMF:25.5:E8 (page does not exist)">F:DLMF:25.5:E8</a></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<tr class="diff-title" lang="en">
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:33, 22 December 2019</td>
</tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div>
</td></tr></table>
Move page script
https://drmf-beta.wmflabs.org/index.php?title=Formula:DLMF:25.5:E8&diff=2263&oldid=prev
imported>SeedBot: DRMF
2017-03-05T22:34:42Z
<p>DRMF</p>
<p><b>New page</b></p><div>{{DISPLAYTITLE:Formula:DLMF:25.5:E8}}<br />
<div id="drmf_head"><br />
<div id="alignleft"> << [[Formula:DLMF:25.5:E7|Formula:DLMF:25.5:E7]] </div><br />
<div id="aligncenter"> [[Integral_Representations#DLMF:25.5:E8|formula in Integral Representations]] </div><br />
<div id="alignright"> [[Formula:DLMF:25.5:E9|Formula:DLMF:25.5:E9]] >> </div><br />
</div><br />
<br />
<br /><div align="center"><math>{\displaystyle <br />
\RiemannZeta@{s}<br />
= \frac{1}{2 (1 - 2^{-s}) \EulerGamma@{s}}<br />
\int_0^\infty \frac{x^{s-1}}{\sinh@@{x}} \diff{x}<br />
}</math></div><br />
<br />
== Constraint(s) ==<br />
<br />
<div align="left"><math>{\displaystyle \realpart{s} > 1}</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/25.2#E1 <math>{\displaystyle \zeta}</math>]</span> : Riemann zeta function : [http://dlmf.nist.gov/25.2#E1 http://dlmf.nist.gov/25.2#E1]<br /><br />
<span class="plainlinks">[http://dlmf.nist.gov/5.2#E1 <math>{\displaystyle \Gamma}</math>]</span> : Euler's gamma function : [http://dlmf.nist.gov/5.2#E1 http://dlmf.nist.gov/5.2#E1]<br /><br />
<span class="plainlinks">[http://dlmf.nist.gov/1.4#iv <math>{\displaystyle \int}</math>]</span> : integral : [http://dlmf.nist.gov/1.4#iv http://dlmf.nist.gov/1.4#iv]<br /><br />
<span class="plainlinks">[http://dlmf.nist.gov/4.28#E1 <math>{\displaystyle \mathrm{sinh}}</math>]</span> : hyperbolic sine function : [http://dlmf.nist.gov/4.28#E1 http://dlmf.nist.gov/4.28#E1]<br /><br />
<span class="plainlinks">[http://dlmf.nist.gov/1.4#iv <math>{\displaystyle \mathrm{d}^nx}</math>]</span> : differential : [http://dlmf.nist.gov/1.4#iv http://dlmf.nist.gov/1.4#iv]<br /><br />
<span class="plainlinks">[http://dlmf.nist.gov/1.9#E2 <math>{\displaystyle \Re {z}}</math>]</span> : real part : [http://dlmf.nist.gov/1.9#E2 http://dlmf.nist.gov/1.9#E2]<br />
<br /><br />
<br />
== Bibliography==<br />
<br />
<span class="plainlinks">[HTTP://DLMF.NIST.GOV/25.5#E8 Equation (8), Section 25.5]</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:25.5:E7|Formula:DLMF:25.5:E7]] </div><br />
<div id="aligncenter"> [[Integral_Representations#DLMF:25.5:E8|formula in Integral Representations]] </div><br />
<div id="alignright"> [[Formula:DLMF:25.5:E9|Formula:DLMF:25.5:E9]] >> </div><br />
</div></div>
imported>SeedBot