q-Cosine

The q-Analog of the Cosine function, as advocated by R. W. Gosper, is defined by

where is a Theta Function and is defined via

This is a period , Even Function of unit amplitude with double and triple angle formulas and addition formulas which are analogous to ordinary Sine and Cosine. For example,

where is the q-Sine, and is q-Pi. The -cosine also satisfies

See also q-Factorial, q-Sine

References

Gosper, R. W. Experiments and Discoveries in -Trigonometry.'' Unpublished manuscript.

© 1996-9 Eric W. Weisstein
1999-05-25