# 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

- Robert J. Marks II, Ian A. Gravagne and John M. Davis:
*A generalized Fourier transform and convolution on time scales*(2008)... (previous)... (next): Definition $2.2$