![_8phi_7[a,qa^(1/2),-qa^(1/2),b,c,d,e,q^(-N); a^(1/2),-a^(1/2),(aq)/b,(aq)/c,(aq)/d,(aq)/e,aq^(N+1);q,q]=(((aq)/(bd);q)_N((aq)/(cd);q)_N(aq;q)_N((aq)/(bc);q)_N)/(((aq)/(bd);q)_N((aq)/(bcd);q)_N((aq)/b;q)_N((aq)/c;q)_N),](/images/equations/q-DougallSum/NumberedEquation1.svg) |
where 
is a q-hypergeometric function.
q-Dougall Sum
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References
Bhatnagar, G. Inverse Relations, Generalized Bibasic Series, and their U(n) Extensions. Ph.D. thesis. Ohio State University, p. 36, 1995.Gasper, G. and Rahman, M. Basic Hypergeometric Series. Cambridge, England: Cambridge University Press, p. 35, 1990.Referenced on Wolfram|Alpha
q-Dougall SumCite this as:
Weisstein, Eric W. "q-Dougall Sum." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/q-DougallSum.html