q-Sine
The q-Analog of the Sine function, as advocated by R. W. Gosper, is defined by
where
is a Theta Function and 
is defined via
This is a period
, Odd Function of unit amplitude with double and triple angle formulas and addition formulas whichare analogous to ordinary Sine and Cosine. For example,
where
is the q-Cosine, and 
is q-Pi.See also q-Cosine, q-Factorial
References
Gosper, R. W. ``Experiments and Discoveries in 
-Trigonometry.'' Unpublished manuscript.
- Box-Muller Transformation
- Box-Packing Theorem
- Boy Surface
- Bp-Theorem
- Bra
- Brachistochrone Problem
- Bracket
- Bracketing
- Bracket Polynomial
- Bracket Product
- Bradley's Theorem
- Brahmagupta Identity
- Brahmagupta Matrix
- Brahmagupta Polynomial
- Brahmagupta's Formula
- Brahmagupta's Problem
- Braid
- Braid Group
- Braid Index
- Braid Word
- Braikenridge-Maclaurin Construction
- Branch
- Branch Cut
- Branch Line
- Branch Point