Difference between revisions of "Forward circle plus"
From timescalewiki
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[[Circle minus inverse of circle plus]]<br /> | [[Circle minus inverse of circle plus]]<br /> | ||
[[Hilger real part oplus Hilger imaginary part equals z]]<br /> | [[Hilger real part oplus Hilger imaginary part equals z]]<br /> | ||
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Revision as of 23:10, 14 July 2016
Let $h>0$ and $z_1,z_2 \in \mathbb{C}_h$, the Hilger complex plane. Then we define the $\oplus_h$ operation by $$z_1 \oplus_h z_2 = z_1+z_2+z_1 z_2h.$$
Properties
Regressive functions form an abelian group under circle plus
Circle minus inverse of circle plus
Hilger real part oplus Hilger imaginary part equals z
