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Fungrim entry: d15f11

θ3 ⁣(0,i)=π1/4Γ ⁣(34)\theta_{3}\!\left(0 , i\right) = \frac{{\pi}^{1 / 4}}{\Gamma\!\left(\frac{3}{4}\right)}
TeX:
\theta_{3}\!\left(0 , i\right) = \frac{{\pi}^{1 / 4}}{\Gamma\!\left(\frac{3}{4}\right)}
Definitions:
Fungrim symbol Notation Short description
JacobiThetaθj ⁣(z,τ)\theta_{j}\!\left(z , \tau\right) Jacobi theta function
ConstIii Imaginary unit
Powab{a}^{b} Power
ConstPiπ\pi The constant pi (3.14...)
GammaFunctionΓ ⁣(z)\Gamma\!\left(z\right) Gamma function
Source code for this entry:
Entry(ID("d15f11"),
    Formula(Equal(JacobiTheta(3, 0, ConstI), Div(Pow(ConstPi, Div(1, 4)), GammaFunction(Div(3, 4))))))

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2019-09-22 15:43:45.410764 UTC