Difference between revisions of "Catalan's constant using Legendre chi"
From specialfunctionswiki
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| − | + | ==Theorem== | |
| − | + | The following formula holds: | |
$$K=-i\chi_2(i),$$ | $$K=-i\chi_2(i),$$ | ||
where $K$ is [[Catalan's constant]] and $\chi$ denotes the [[Legendre chi]] function. | where $K$ is [[Catalan's constant]] and $\chi$ denotes the [[Legendre chi]] function. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
| + | |||
| + | [[Category:Theorem]] | ||
| + | [[Category:Proof]] | ||
Revision as of 08:00, 8 June 2016
Theorem
The following formula holds: $$K=-i\chi_2(i),$$ where $K$ is Catalan's constant and $\chi$ denotes the Legendre chi function.
