Generalized binomial expansion on Lorentz cones

Extended Lorentz Cones and Variational Inequalities on Cylinders

Solutions of a variational inequality problemdefined by a closed and convex set and a mapping are found by imposing conditions for the monotone convergence with respect to a cone of the Picard iteration corresponding to the composition of the projection onto the defining closed and convex set and the difference in the identity mapping and the defining mapping. One of these conditions is the iso...

Null Cones in Lorentz-covariant General Relativity *

The oft-neglected issue of the causal structure in the flat spacetime approach to Einstein’s theory of gravity is considered. Consistency This work is based on a portion of the first’s author’s dissertation, supervised by the second author. The Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas at Austin, Austin, TX 78712 USA, and Mathematics...

On Hypergeometric Generalized Negative Binomial Distribution

Generalized Lorentz Coordinate Transformation

This paper derives equations for generalized Lorentz coordinate transformation based on a simple principle that only the wave equation must be form invariant and valid in both coordinate systems. The usual requirement that the speed of light is a universal constant and thus has an identical value in any inertial coordinate systems is removed. This leads to some interesting conclusions and possi...

Multiplication Operators on Generalized Lorentz-zygmund Spaces

The invertible, compact and Fredholm multiplication operators on generalized Lorentz-Zygmund (GLZ) spaces Lp,q;α, 1 < p ≤ ∞, 1 ≤ q ≤ ∞, α in the Euclidean space R, are characterized in this paper.