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Jackson's Identity

A q-Series identity involving

\begin{displaymath}
{(aq)_q^m (aqde)_q^m (adec)_q^m (aqcd)_q^m \over (aqc)_q^m(aqd)_q^m(aqe)_q^m(aqcde)_q^m},
\end{displaymath}

where

\begin{displaymath}
(a)_q^n = (1-a)(1-aq)\cdots(1-aq^{n-1}).
\end{displaymath}

See also q-Series


References

Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea, pp. 109-110, 1959.

Jackson, F. H. ``Summation of $q$-Hypergeometric Series.'' Messenger Math. 47, 101-112, 1917.




© 1996-9 Eric W. Weisstein
1999-05-25