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 Unpublished manuscript.
- Gaussian Approximation Algorithm
- Gaussian Bivariate Distribution
- Gaussian Brackets
- Gaussian Coefficient
- Gaussian Coordinate System
- Gaussian Curvature
- Gaussian Differential Equation
- Gaussian Distribution
- Gaussian Distribution Linear Combination of Variates
- Gaussian Elimination
- Gaussian Function
- Gaussian Hypergeometric Series
- Gaussian Integer
- Gaussian Integral
- Gaussian Integral (Linking Number)
- Gaussian Joint Variable Theorem
- Gaussian Mountain Range
- Gaussian Multivariate Distribution
- Gaussian Polynomial
- Gaussian Prime
- Gaussian Quadrature
- Gaussian Sum
- Gauss-Jacobi Mechanical Quadrature
- Gauss-Jordan Elimination
- Gauss-Kummer Series