Difference between revisions of "1Phi0(a;;z) as infinite product"
From specialfunctionswiki
(Created page with "==Theorem== The following formula holds: $${}_1\phi_0(a;;z)=\displaystyle\prod_{k=0}^{\infty} \dfrac{1-aq^kz}{1-q^kz},$$ where ${}_1\phi_0$ denotes [[basic hypergeometric phi]...") |
(No difference)
|
Revision as of 21:36, 17 June 2017
Theorem
The following formula holds: $${}_1\phi_0(a;;z)=\displaystyle\prod_{k=0}^{\infty} \dfrac{1-aq^kz}{1-q^kz},$$ where ${}_1\phi_0$ denotes basic hypergeometric phi.
Proof
References
- 1953: Harry Bateman: Higher Transcendental Functions Volume I ... (previous) ... (next): $4.8 (4)$
