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.
- Hedgehog
- Heegaard Diagram
- Heegaard Splitting
- Heegner Number
- Heesch Number
- Heesch's Problem
- Height
- Heilbronn Triangle Problem
- Heine-Borel Theorem
- Heine Hypergeometric Series
- Heisenberg Group
- Heisenberg Space
- Held Group
- Helen of Geometers
- Helicoid
- Helix
- Helly Number
- Helly's Theorem
- Helmholtz Differential Equation
- Helmholtz Differential Equation--Bipolar Coordinates
- Helmholtz Differential Equation--Cartesian Coordinates
- Helmholtz Differential Equation--Circular Cylindrical Coordinates
- Helmholtz Differential Equation--Confocal Ellipsoidal Coordinates
- Helmholtz Differential Equation--Confocal Paraboloidal Coordinates
- Helmholtz Differential Equation--Conical Coordinates