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Results tagged with gamma-function
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user 8410
used only for functions based on gamma, not functions with some obscure relation to gamma
4
votes
Accepted
Is this combination of generalized polygamma and dilogarithm actually zero? $\Im\;\psi^{(-2)...
The following identities hold for all real $x>0$. Your equality is the second identity at $x=1$.
$$
-x + \frac{\pi}{12}(6x^2-1) + x\log{x} - x \log(2\pi) + 2\Im{\psi^{(-2)}(ix)} + \frac{1}{2\pi}\text …
- 2,200
10
votes
Are all zeros of $\Gamma(s) \pm \Gamma(1-s)$ on a line with real part = $\frac12$ ?
I would like to expand on Guild of Pepperers's answer by noting that the zeros are essentially uniformly spaced and may easily be approximated to a high degree of accuracy. Using Stirling approximati …
- 2,200