Content deleted Content added
No edit summary |
Wachipichay (talk | contribs) |
||
Line 25:
In particular,
<math display="block">h_{\exp}(\theta) = \cos(\theta).</math>
Since the complex sine and cosine functions are [[Sine_and_cosine#Complex_arguments|expressible]] in terms of the exponential, it follows from the above result that
:<math>
h_{\sin}(\theta)=h_{\cos}(\theta)=\begin{cases}
\sin(\theta), & \text{if } 0 \le\theta<\pi \\
-\sin(\theta), & \text{if } \pi \le \theta<2\pi.
\end{cases}
</math>
Another easily deducible indicator function is that of the [[reciprocal Gamma function]]. However, this function is of infinite type (and of order <math>\rho = 1</math>), therefore one needs to define the indicator function to be
| |||