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q-Vandermonde Sum

A q-Vandermonde sum is given by

_2phi_1(a,q^(-n);c;q,q)=(a^n(c/a;q)_n)/((c;q)_n),

where n is a nonnegative integer, _2phi_1(a,b;c;q,z) is a q-hypergeometric function, and (a;q)_n is a q-Pochhammer symbol.

See also

Chu-Vandermonde Identity

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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.

Referenced on Wolfram|Alpha

q-Vandermonde Sum

Cite this as:

Weisstein, Eric W. "q-Vandermonde Sum." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/q-VandermondeSum.html

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