Holographic Einstein rings of non-commutative black holes Xin-Yun Hu, Xiao-Xiong Zeng, Li-Fang Li and Peng Xu Eur. Phys. J. C, 84 2 (2024) 199 Published online: 27 February 2024 DOI: 10.1140/epjc/s10052-024-12522-1