 The Hubbard-Holstein model was used to study the effects of extended electron phonon, EPH, coupling on the electronic structure of one, dimensional, 1D, cuprate materials. It was found that this type of coupling can explain the spectral features observed in angle-resolved photoemission experiments, including the diminished 3KF spectral weight, the presence of a hole-on-folding branch, and the correct hole-on bandwidth. This extended EPH coupling also enhanced the long-range superconducting correlations while suppressing spin correlations, suggesting that it could play an important role in explaining the physics of the structurally similar two-dimensional, 2D, cuprate materials. This article was authored by Tartang, Brian Moritz, Cheng Peng, and others.