Pumping lemma for regular languages: Difference between revisions

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In [[mathematics]], the '''q-theta function''' is a type of [[q-series]]. It is given by
 
:<math>\theta(z;q)=\prod_{n=0}^\infty (1-q^nz)\left(1-q^{n+1}/z\right)</math>
 
where one takes 0&nbsp;&le;&nbsp;|''q''|&nbsp;<&nbsp;1. It obeys the identities
 
:<math>\theta(z;q)=\theta\left(\frac{q}{z};q\right)=-z\theta\left(\frac{1}{z};q\right). </math>
 
It may also be expressed as:
 
:<math>\theta(z;q)=(z;q)_\infty (q/z;q)_\infty</math>
 
where <math>(\cdot  \cdot )_\infty</math> is the [[q-Pochhammer symbol]].
 
==See also==
* [[theta function|Jacobi theta function]]
* [[Ramanujan theta function]]
 
[[Category:Q-analogs]]
[[Category:Theta functions]]
 
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Latest revision as of 12:41, 8 January 2015

I’m Ramona from Hinterzarten studying American Studies. I did my schooling, secured 95% and hope to find someone with same interests in Insect collecting.

my web-site ... Fifa 15 Coin Generator

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