Double Inozemtsev limits of the quantum DELL system

In this letter we study various Inozemtsev-type limits of the quantum double elliptic (DELL) system when both parameters are sent to zero at different rates, while coupling constant is infinity, such that a certain combination three kept fixed. We find regime in which Inozemtsev limit DELL produces Ruijsenaars-Schneider (eRS) Hamiltonians albeit an unconventional normalization. discuss other scaling and anisotropic coordinates momenta. addition provide formal expression for eigenvalues eRS solely terms their eigenfunctions.