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By applying Niederer--like transformation, we construct a representation ofthe N=2 l-conformal Newton-Hooke superalgebra for the case of a negativecosmological constant in terms of linear differential operators as well as itsdynamical realization. Another variant of N=2 supersymmetric Pais-Uhlenbeckoscillator for a particular choice of its frequencies is proposed. Theadvantages of such realizations as compared to their analogues introduced in[J. Math. Phys. 53 (2012) 072904], [J. Math. Phys. 56 (2015) 022902] arediscussed.

New realizations of N=2 l-conformal Newton-Hooke superalgebra