Abstract
In this work, we defined a quaternionic \(B_2\)-slant helix in semi-Euclidean space \(\mathbb{E}_2^4\). Then we gave Frenet formulae for the quaternionic curve in semi-Euclidean space \(\mathbb{E}_2^4\). Also, we investigated some necessary and sufficient conditions for a space curve to be a quaternionic \(B_2\)-slant helix according to quaternionic curves in semi-Euclidean space \(\mathbb{E}_2^4\).
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