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*According to elementary factors, it is a special case of the double gamma function.
*According to elementary factors, it is a special case of the double gamma function.
*Formally, the Barnes G-function is defined in the following Weierstrass product form:
*Formally, the Barnes G-function is defined in the following Weierstrass product form:
<math>G(1+z)={(2\pi)}^\frac{z}{2}</math>
<math>G(1+z)={(2\pi)}^\frac{z}{2}exp(-\frac{z+z^2(1+\gamma)}{2})</math>