Q-derivative of q-Sine
From specialfunctionswiki
Revision as of 23:25, 26 June 2016 by Tom (talk | contribs) (Created page with "==Theorem== The following formula holds: $$D_q \mathrm{Sin}_q(bz) = b \mathrm{Cos}_q(bz),$$ where $D_q$ is the q-difference operator, $\mathrm{Sin}_q$ is the Q-Sin|$q$-S...")
Theorem
The following formula holds: $$D_q \mathrm{Sin}_q(bz) = b \mathrm{Cos}_q(bz),$$ where $D_q$ is the q-difference operator, $\mathrm{Sin}_q$ is the $q$-Sine function, and $\mathrm{Cos}_q$ is the $q$-cosine function.
