Indicator function (complex analysis): Difference between revisions

Content deleted Content added
Citation bot (talk | contribs)
Alter: isbn. Upgrade ISBN10 to 13. | Use this bot. Report bugs. | Suggested by RoanokeVirginia | Category:AfC submissions by date/04 March 2022 | #UCB_Category 46/205
Indicator of the Mittag-Leffler function is added to examples
Line 40:
 
:<math>h_{1/\Gamma}(\theta)=-\cos(\theta).</math>
 
Another example is that of the [[Mittag-Leffler function]] <math>E_\alpha</math>. This function is of order <math>\rho=1/\alpha</math>, and<ref name="Cartwright">{{cite book |last1=Cartwright|first1=M. L. |title=Integral Functions |date=1962 |publisher=Cambridge Univ. Press |isbn=052104586X}}</ref>
 
:<math>h_{E_\alpha}(\theta)=\begin{cases}\cos\left(\frac{\theta}{\alpha}\right),&\text{for }|\theta|\le\frac12\alpha\pi;\\0,&\text{otherwise}.\end{cases}</math>
 
==Further properties of the indicator==