Z. Shvaika, P. Sapriianchuk, and A. Rovenchak, Bose systems in linear traps: Exact calculations versus effective space dimensionality, Low Temp. Phys. 47, (2021) [Fiz. Nizk. Temp. 47, 626-632, (2021)] DOI: https://doi.org/10.1063/10.0005185.