Relativistic Combination of Any Number of Collinear Velocities and Generalization of Einstein’s Formula

By a direct application of the theory of polynomials orthogonal on the unit circle, the Einstein relativistic combination of any number of velocities is given in a surprisingly simple closed form. By doing so the Antippa additive formula is simplified. Insight is gained through treatment of the wave equations describing pressure and particle velocities for a layered model.