Digital Library of Mathematical Functions
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21 Multidimensional Theta FunctionsProperties21.4 Graphics

Figure 21.4.1 (See in context.)

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(a{}_{1}) (b{}_{1}) (c{}_{1})
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(a{}_{2}) (b{}_{2}) (c{}_{2})
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(a{}_{3}) (b{}_{3}) (c{}_{3})
Figure 21.4.1: \mathop{\hat{\theta}\/}\nolimits\!\left(\mathbf{z}\middle|\boldsymbol{{\Omega}% }\right) parametrized by (21.4.1). The surface plots are of \mathop{\hat{\theta}\/}\nolimits\!\left(x+iy,0\middle|\boldsymbol{{\Omega}}\right), 0\leq x\leq 1, 0\leq y\leq 5 (suffix 1); \mathop{\hat{\theta}\/}\nolimits\!\left(x,y\middle|\boldsymbol{{\Omega}}\right), 0\leq x\leq 1, 0\leq y\leq 1 (suffix 2); \mathop{\hat{\theta}\/}\nolimits\!\left(ix,iy\middle|\boldsymbol{{\Omega}}\right), 0\leq x\leq 5, 0\leq y\leq 5 (suffix 3). Shown are the real part (a), the imaginary part (b), and the modulus (c).
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