Difference between revisions of "Delta cpq"

From timescalewiki
Jump to: navigation, search
(Properties)
 
Line 4: Line 4:
  
 
=Properties=
 
=Properties=
{{:Pythagorean identity for alternate delta trigonometric functions}}
+
[[Pythagorean identity for alternate delta trigonometric functions]]<br />
{{:Derivative of alternative delta cosine}}
+
[[Derivative of alternative delta cosine]]<br />
{{:Derivative of alternative delta sine}}
+
[[Derivative of alternative delta sine]]<br />
  
 
=See Also=
 
=See Also=
 
[[Delta spq]]<br />
 
[[Delta spq]]<br />

Latest revision as of 00:41, 15 September 2016

Let $\mathbb{T}$ be a time scale and let $p$ and $q$ be rd-continuous functions that satisfy the relation $2p(t)+\mu(t)(p(t)^2+q(t)^2)=0$. The (alternative) cosine function is defined by $$c_{pq}(t,s) = \dfrac{e_{p+iq}(t,s)+e_{p-iq}(t,s)}{2},$$ where $e_{p+iq}$ denotes the delta exponential.

Properties

Pythagorean identity for alternate delta trigonometric functions
Derivative of alternative delta cosine
Derivative of alternative delta sine

See Also

Delta spq