Difference between revisions of "Hilger real part"
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=Properties= | =Properties= | ||
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[[Limit of Hilger real and imag parts yields classical]]<br /> | [[Limit of Hilger real and imag parts yields classical]]<br /> | ||
[[Hilger real part oplus Hilger imaginary part equals z]]<br /> | [[Hilger real part oplus Hilger imaginary part equals z]]<br /> | ||
=References= | =References= | ||
Revision as of 12:57, 17 August 2017
Let $h>0$ and let $z \in \mathbb{C}_h$, the Hilger complex plane. The Hilger real part of $z$ is defined by $$\mathrm{Re}_h(z)=\dfrac{|zh+1|-1}{h}.$$
Properties
Inequality for Hilger real part
Limit of Hilger real and imag parts yields classical
Hilger real part oplus Hilger imaginary part equals z
