Difference between revisions of "Q-sin sub q"

From specialfunctionswiki
Jump to: navigation, search
 
(3 intermediate revisions by the same user not shown)
Line 5: Line 5:
 
=Properties=
 
=Properties=
 
[[q-Euler formula for e sub q]]<br />
 
[[q-Euler formula for e sub q]]<br />
 +
[[Series for q-sin sub q]]<br />
  
 
=External links=
 
=External links=
Line 10: Line 11:
  
 
=References=
 
=References=
* {{BookReference|A Comprehensive Treatment of q-Calculus|2012|Thomas Ernst|prev=findme|next=q-cos}}: $(6.201)$
+
* {{BookReference|A Comprehensive Treatment of q-Calculus|2012|Thomas Ernst|prev=findme|next=Series for q-sin sub q}}: $(6.201)$
  
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]

Latest revision as of 15:39, 11 July 2016

The function $\sin_q$ is defined for $|z|<1$ by $$\sin_q(z)=\dfrac{e_q(iz)-e_q(-iz)}{2i},$$ where $e_q$ denotes the $q$-exponential $e$ and $(q;q)_{2k+1}$ denotes the $q$-Pochhammer symbol.

Properties

q-Euler formula for e sub q
Series for q-sin sub q

External links

[1]

References