We investigate the effect of a ferroelectric transition that is close to a superconducting transition. The closeness of the ferroelectric transition manifests itself in a large ionic dielectric constant epsilon , which is not present in "normal" metals where the conduction electrons shield it out. This reduces the Debye screening parameter from qD to qD/ epsilon at frequencies below the dispersion frequency omega _t approx approx 20 meV of epsion ( omega ). The electron-phonon matrix element is renormalized as a result. We extend the Eliashberg equations for this renormalized interaction, and develop an algorithm to solve them along the real- omega axis. We find that various anomalous properties, such as the high value of T_c, the high value of 2 DELTA _0/T_c, the d-wave symmetry of the gap parameter, the extended Van-Hove singularity, the damping of the electronic states near the FS, the pseudogap, and various other properties of the cuprates, as well as organic metals, are accounted for.
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