A q-analog of the Chu-Vandermonde
identity given by
where
is the q-hypergeometric function.
The identity can also be written as
See also
Chu-Vandermonde Identity,
q-Hypergeometric Function
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References
Bhatnagar, G. Inverse Relations, Generalized Bibasic Series, and their U(n) Extensions. Ph.D. thesis. Ohio State University, p. 18,
1995.Gasper, G. and Rahman, M. Basic
Hypergeometric Series. Cambridge, England: Cambridge University Press, p. 236,
1990.Koepf, W. Hypergeometric
Summation: An Algorithmic Approach to Summation and Special Function Identities.
Braunschweig, Germany: Vieweg, p. 43, 1998.Referenced on Wolfram|Alpha
q-Chu-Vandermonde Identity
Cite this as:
Weisstein, Eric W. "q-Chu-Vandermonde Identity."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/q-Chu-VandermondeIdentity.html
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