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Fungrim entry: ecb406

0θ2 ⁣(0,it)dt=π\int_{0}^{\infty} \theta_{2}\!\left(0 , i t\right) \, dt = \pi
TeX:
\int_{0}^{\infty} \theta_{2}\!\left(0 , i t\right) \, dt = \pi
Definitions:
Fungrim symbol Notation Short description
Integralabf(x)dx\int_{a}^{b} f(x) \, dx Integral
JacobiThetaθj ⁣(z,τ)\theta_{j}\!\left(z , \tau\right) Jacobi theta function
ConstIii Imaginary unit
Infinity\infty Positive infinity
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("ecb406"),
    Formula(Equal(Integral(JacobiTheta(2, 0, Mul(ConstI, t)), For(t, 0, Infinity)), Pi)))

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2019-11-19 15:10:20.037976 UTC