Changes
Jump to navigation
Jump to search
← Older edit
Newer edit →
Manuals/calci/GFUNCTION
(view source)
Revision as of 22:45, 8 August 2017
24 bytes added
,
22:45, 8 August 2017
→Description
Line 10:
Line 10:
*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 </math>
+
*<math>\prod_{k=1}^\infty
{
{(1+\frac{z}{k})}^k
exp(\frac {z^2}{2k}-z)}
</math>
<math> exp(\frac {z^2}{2k}-z)</math>
<math> exp(\frac {z^2}{2k}-z)</math>
{{(1+\frac{z}{k})}^k
{{(1+\frac{z}{k})}^k
Devika
writer
6,694
edits
Navigation menu
Personal tools
Log in
Namespaces
Page
Discussion
Variants
Views
Read
View source
View history
More
Search
Navigation
Main page
Community portal
Current events
Recent changes
Help
Tools
ZCubes Web Platform
Printable version