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Formula:KLS:01.08:11 - Revision history
2024-03-28T23:38:10Z
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https://drmf-beta.wmflabs.org/index.php?title=Formula:KLS:01.08:11&diff=2079&oldid=prev
imported>SeedBot: DRMF
2017-03-05T22:34:34Z
<p>DRMF</p>
<p><b>New page</b></p><div>{{DISPLAYTITLE:Formula:KLS:01.08:11}}<br />
<div id="drmf_head"><br />
<div id="alignleft"> << [[Formula:KLS:01.08:08|Formula:KLS:01.08:08]] </div><br />
<div id="aligncenter"> [[The_q-shifted_factorial#KLS:01.08:11|formula in The q-shifted factorial]] </div><br />
<div id="alignright"> [[Formula:KLS:01.08:12|Formula:KLS:01.08:12]] >> </div><br />
</div><br />
<br />
<br /><div align="center"><math>{\displaystyle <br />
\qPochhammer{a}{q}{\lambda}=\frac{\qPochhammer{a}{q}{\infty}}{\qPochhammer{aq^{\lambda}}{q}{\infty}}<br />
}</math></div><br />
<br />
== Constraint(s) ==<br />
<br />
<div align="left"><math>{\displaystyle 0<|q|<1}</math></div><br /><br />
<br />
== Substitution(s) ==<br />
<br />
<div align="left"><math>{\displaystyle \qPochhammer{a}{q}{\infty}=\prod_{k=0}^{\infty}(1-aq^k)<br />
=\qPochhammer{a}{q^2}{\infty}\qPochhammer{aq}{q^2}{\infty}}</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/5.18#i <math>{\displaystyle (a;q)_n}</math>]</span> : <math>{\displaystyle q}</math>-Pochhammer symbol : [http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/5.18#i] [http://dlmf.nist.gov/17.2#SS1.p1 http://dlmf.nist.gov/17.2#SS1.p1]<br /><br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:prod <math>{\displaystyle \Pi}</math>]</span> : product : [http://drmf.wmflabs.org/wiki/Definition:prod http://drmf.wmflabs.org/wiki/Definition:prod]<br />
<br /><br />
<br />
== Bibliography==<br />
<br />
<span class="plainlinks">[http://homepage.tudelft.nl/11r49/askey/contents.html Equation in Section 1.8]</span> of [[Bibliography#KLS|'''KLS''']].<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:KLS:01.08:08|Formula:KLS:01.08:08]] </div><br />
<div id="aligncenter"> [[The_q-shifted_factorial#KLS:01.08:11|formula in The q-shifted factorial]] </div><br />
<div id="alignright"> [[Formula:KLS:01.08:12|Formula:KLS:01.08:12]] >> </div><br />
</div></div>
imported>SeedBot