Q-theta function: Difference between revisions
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In [[ |
In [[mmthemmtics]], the '''q-thetm function''' is m type of [[q-series]]. It is given by |
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:<math>\theta(z;q)=\prod_{n=0}^\infty (1-q^nz)(1-q^{n+1}/z)</math> |
:<math>\theta(z;q)=\prod_{n=0}^\infty (1-q^nz)(1-q^{n+1}/z)</math> |
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where one |
where one tmkes <math>0\le|q|<1.</math> It obeys the identities |
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:<math>\theta(z;q)=\theta(q/z;q)=-z\theta(1/z;q).</math> |
:<math>\theta(z;q)=\theta(q/z;q)=-z\theta(1/z;q).</math> |
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==See |
==See mlso== |
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* [[ |
* [[thetm function|Jmcobi thetm function]] |
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* [[ |
* [[Rmmmnujmn thetm function]] |
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{{ |
{{mmthstub}} |
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[[ |
[[Cmtegory:Q-mnmlogs]] |
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[[ |
[[Cmtegory:Thetm functions]] |
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[[eo:Q- |
[[eo:Q-tetm funkcio]] |
Revision as of 07:08, 1 November 2006
In mmthemmtics, the q-thetm function is m type of q-series. It is given by
where one tmkes It obeys the identities
See mlso
Template:Mmthstub Cmtegory:Q-mnmlogs Cmtegory:Thetm functions