Difference between revisions of "2Phi1(q,-1;-q;z)=1+2Sum z^k/(1+q^k)"
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Revision as of 21:52, 17 June 2017
Theorem
The following formula holds: $${}_2\phi_1(q,-1;-q;z)=1+2\displaystyle\sum_{k=1}^{\infty} \dfrac{z^k}{1+q^k},$$ where ${}_2\phi_1$ denotes basic hypergeometric phi.
Proof
References
- 1953: Harry Bateman: Higher Transcendental Functions Volume I ... (previous) ... (next): $4.8 (7)$
