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Manuals/calci/GFUNCTION
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Revision as of 21:09, 8 August 2017
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21:09, 8 August 2017
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*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}exp(-\frac{z+z^2(1+\gamma)}{2})</math>
<math>G(1+z)={(2\pi)}^\frac{z}{2}exp(-\frac{z+z^2(1+\gamma)}{2})</math>
−
<math>\prod_{k=1}^\infty{{(1+\frac{z}{k}}^k exp(\frac {z^2}{2k}-z)</math>
+
*
<math>\prod_{k=1}^\infty
</math>
+
<math>
{{(1+\frac{z}{k}}^k exp(\frac {z^2}{2k}-z)</math>
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