Difference between revisions of "Hilger complex plane"

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Let $h>0$ be fixed. We define the Hilger complex plane to be
 
Let $h>0$ be fixed. We define the Hilger complex plane to be
$$\mathbb{C}_h = \left\{ z \in \mathbb{C} \colon z \neq \dfrac{1}{h} \right\}.$$
+
$$\mathbb{C}_h = \left\{ z \in \mathbb{C} \colon z \neq \dfrac{1}{h} \right\},$$
 +
and for $h=0$, we let $\mathbb{C}_0=\mathbb{C}$.
  
 
=Properties=
 
=Properties=

Latest revision as of 00:40, 30 May 2017

Let $h>0$ be fixed. We define the Hilger complex plane to be $$\mathbb{C}_h = \left\{ z \in \mathbb{C} \colon z \neq \dfrac{1}{h} \right\},$$ and for $h=0$, we let $\mathbb{C}_0=\mathbb{C}$.

Properties

References