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20 Theta Functions Properties 20.3 Graphics 20.3 Graphics 20.4 Values at

z

Figure 20.3.18 (See in context.)

Figure 20.3.18:

\theta_{1}\left(0.1\middle|u+iv\right)

,

-1\leq u\leq 1

,

0.005\leq v\leq 0.5

. The value 0.1 of

z

is chosen arbitrarily since

\theta_{1}

vanishes identically when

z=0

.

ⓘ

Annotations:

Symbols:: $\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}\right)$ : theta function, $\mathrm{i}$ : imaginary unit and $z$ : complex
Permalink:: http://dlmf.nist.gov/20.3.F18.viz

20.3 Graphics 20.4 Values at

z

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