Relativistic combination of any number of collinear velocities and generalization of Einstein's formula

Authors
Loewenthal, D Robinson, EA
Citation
D. Loewenthal et Ea. Robinson, Relativistic combination of any number of collinear velocities and generalization of Einstein's formula, J MATH ANAL, 246(1), 2000, pp. 320-324
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
246
Issue
1
Year of publication
2000
Pages
320 - 324
Database
ISI
SICI code
0022-247X(20000601)246:1<320:RCOANO>2.0.ZU;2-H
Abstract
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 addi tive formula is simplified. Insight is gained through treatment of the wave equations describing pressure and particle Velocities for a layered model, (C) 2000 Academic Press.