Summation of a certain series. (Q5911472)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Summation of a certain series. |
scientific article; zbMATH DE number 2656916
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Summation of a certain series. |
scientific article; zbMATH DE number 2656916 |
Statements
Summation of a certain series. (English)
0 references
1903
0 references
Es ist \[ F(\alpha,\alpha-\delta+1,\alpha-2+1,\delta,\varepsilon,1)=2^{- \alpha}\pi^{\frac12}\;\frac{\varGamma\delta\varGamma\varepsilon\varGamma(\delta+ \varepsilon-\frac32\, \alpha-1)}{\varGamma\left(\delta- \frac\alpha2\right)\varGamma\left(\varepsilon- \frac\alpha2\right)\varGamma\,\frac{\alpha+1}{2}\,\varGamma(\delta+ \varepsilon-\alpha-1)}\,, \] wenn der reelle Teil von \(\delta+\varepsilon-\frac32\,\alpha-1\) positiv ist.
0 references
