Difference between revisions of "Hilger circle"

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=References=
 
=References=
*{{PaperReference|A generalized Fourier transform and convolution on time scales|2008|Robert J. Marks II|author2=Ian A. Gravagne|author3=John M. Davis|prev=Hilger alternating axis|next=findme}}: Definition $2.2$
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*{{PaperReference|A generalized Fourier transform and convolution on time scales|2008|Robert J. Marks II|author2=Ian A. Gravagne|author3=John M. Davis|prev=Hilger alternating axis|next=Cylinder strip}}: Definition $2.2$

Latest revision as of 00:49, 30 May 2017

Let $h>0$. The Hilger imaginary circle is defined by $$\mathbb{I}_h = \left\{ z \in \mathbb{C}_h \colon \left| z + \dfrac{1}{h} \right| = \dfrac{1}{h} \right\},$$ where $\mathbb{C}_h$ denotes the Hilger complex plane.

Properties

References