Difference between revisions of "Hurwitz zeta"
From specialfunctionswiki
| Line 3: | Line 3: | ||
=Properties= | =Properties= | ||
| − | + | [[Hurwitz zeta absolute convergence]]<br /> | |
| − | + | [[Relationship between Hurwitz zeta and gamma function]]<br /> | |
| − | + | [[Relation between polygamma and Hurwitz zeta]]<br /> | |
| − | + | [[Bernoulli polynomial and Hurwitz zeta]]<br /> | |
| − | + | [[Catalan's constant using Hurwitz zeta]]<br /> | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | Relation between polygamma and Hurwitz zeta | ||
| − | |||
| − | |||
| − | |||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 07:12, 16 June 2016
The Hurwitz zeta function is a generalization of the Riemann zeta function defined initially for $\mathrm{Re}(s)>1$ and $\mathrm{Re}(a)>0$ by $$\zeta(s,a)= \displaystyle\sum_{n=0}^{\infty} \dfrac{1}{(n+a)^s}.$$
Properties
Hurwitz zeta absolute convergence
Relationship between Hurwitz zeta and gamma function
Relation between polygamma and Hurwitz zeta
Bernoulli polynomial and Hurwitz zeta
Catalan's constant using Hurwitz zeta
