q-Series
A Series involving coefficients of the form
 |  |  | (1) |
 |  | (2) |
(Andrews 1986). The symbols
 | |  | (3) |
 | |  | (4) |
are sometimes also used when discussing
-series.
There are a great many beautiful identities involving -series, some of which follow directly by taking theq-Analog of standard combinatorial identities, e.g., the q-Binomial Theorem
 | (5) |
, 
; Andrews 1986, p. 10) and q-Vandermonde Sum | (6) |
is a Heine Hypergeometric Series. Other -series identities, e.g., the Jacobi Identities,Rogers-Ramanujan Identities, and Heine Hypergeometric Series identity | (7) |
References
Andrews, G. E. Berndt, B. C. `` Gasper, G. and Rahman, M. Basic Hypergeometric Series. Cambridge, England: Cambridge University Press, 1990. Gosper, R. W. ``Experiments and Discoveries in 
q-Series-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra. Providence, RI: Amer. Math. Soc., 1986.-Series.'' Ch. 27 in Ramanujan's Notebooks, Part IV. New York: Springer-Verlag, pp. 261-286, 1994.-Trigonometry.'' Unpublished manuscript.
- Gårding's Inequality
- Göbel's Sequence
- Gödel Number
- Gödel's Completeness Theorem
- Gödel's Incompleteness Theorem
- Haar Function
- Haar Integral
- Haar Measure
- Haar Transform
- Haberdasher's Problem
- Hadamard Design
- Hadamard Matrix
- Hadamard's Inequality
- Hadamard's Theorem
- Hadamard Transform
- Hadamard-Vallée Poussin Constants
- Hadwiger Problem
- Hadwiger's Principal Theorem
- Hafner-Sarnak-McCurley Constant
- Hahn-Banach Theorem
- Hailstone Number
- Hairy Ball Theorem
- Half
- Half-Closed Interval
- Half-Normal Distribution