basic hypergeometric series (Q1062958)
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q-analog of hypergeometric series
- Q-hypergeometric series
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | basic hypergeometric series |
q-analog of hypergeometric series |
|
Statements
![{\displaystyle \;_{j}\phi _{k}\left[{\begin{matrix}a_{1}&a_{2}&\ldots &a_{j}\\b_{1}&b_{2}&\ldots &b_{k}\end{matrix}};q,z\right]=\sum _{n=0}^{\infty }{\frac {(a_{1},a_{2},\ldots ,a_{j};q)_{n}}{(b_{1},b_{2},\ldots ,b_{k},q;q)_{n}}}\left((-1)^{n}q^{n \choose 2}\right)^{1+k-j}z^{n}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/274d2ef79218e289c26f62120cb6dcfcc6636248)
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Sitelinks
Wikipedia(7 entries)
- enwiki Basic hypergeometric series
- eswiki Serie hipergeométrica básica
- frwiki Série hypergéométrique basique
- itwiki Q-serie ipergeometrica
- jawiki Q超幾何級数
- rowiki Serie hipergeometrică fundamentală
- zhwiki 基本超几何函数