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q-Vandermonde Sum


\begin{displaymath}
{}_2\phi_1(a,q^{-n};c;q,q)={a^n(c/a,q)_n\over(c;q)_n},
\end{displaymath}

where ${}_2\phi_1(a,b;c;q,z)$ is a Heine Hypergeometric Series.

See also Chu-Vandermonde Identity, Heine Hypergeometric Series


References

Andrews, G. E. $q$-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra. Providence, RI: Amer. Math. Soc., pp. 15-16, 1986.




© 1996-9 Eric W. Weisstein
1999-05-25