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    Sequential natural mates of Frenet curves in Euclidean 3-space
    (Springer Basel Ag, 2021) Camci, Cetin; Chen, Bang-Yen; Ilarslan, Kazim; Ucum, Ali
    Associated with a Frenet curve alpha in Euclidean 3-space E-3, there exists the notion of natural mate beta of alpha. In this article, we extend the natural mate beta to sequential natural mates {alpha(1), alpha(2), . . . , alpha(n alpha)} with alpha(1) = beta. We call each curve alpha(i), i epsilon {1, 2, . . . , n(alpha)}, the i-th natural mate. The main purpose of this article is to study the relationships between the given Frenet curve a with its sequential natural mates {alpha(1), alpha(2), . . . , alpha n(alpha)}.