Editing Theta function (section)

==Relation to the ''q''-gamma function==

The fourth theta function – and thus the others too – is intimately connected to the [[q-gamma function|Jackson {{mvar|q}}-gamma function]] via the relation<ref name = 'Mezo'>{{Cite journal| last1=Mező | first1=István | title=A {{mvar|q}}-Raabe formula and an integral of the fourth Jacobi theta function | year=2012 | journal=Journal of Number Theory | volume=133 | issue=2 | pages=692–704 | doi = 10.1016/j.jnt.2012.08.025 | doi-access=free | hdl=2437/166217 | hdl-access=free }}</ref>

:<math>\left(\Gamma_{q^2}(x)\Gamma_{q^2}(1-x)\right)^{-1}=\frac{q^{2x(1-x)}}{\left(q^{-2};q^{-2}\right)^3_\infty\left(q^2-1\right)} \theta_4\left(\frac{1}{2i}(1-2x)\log q,\frac{1}{q}\right). </math>