q-Binomial Theorem
The q-Analog of the Binomial Theorem
is given by
 | |
 |
where
(Heine 1847, p. 303; Andrews 1986). The Cauchy Binomial Theorem is a special case of this general theorem.See also Binomial Series, Binomial Theorem, Cauchy Binomial Theorem, Heine Hypergeometric Series,Ramanujan Psi Sum
References
Andrews, G. E. Heine, E. ``Untersuchungen über die Reihe 
-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra. Providence, RI: Amer. Math. Soc., p. 10, 1986.
.'' J. reine angew. Math. 34, 285-328, 1847.
- Shallow Diagonal
- Shanks' Algorithm
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- Shift
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