Electrostatics and the Zeros of the Classical Polynomials
- 1 March 1986
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 17 (2) , 461-468
- https://doi.org/10.1137/0517035
Abstract
New interpretations of the zeros of the classical polynomials as the equilibrium positions of two-dimensional electrostatic problems are given. The electrostatic problems solved include determining the equilibrium position on the circle of $n2^M $ particles of unit charge and $2^M $ particles of charge $ + q$, given that between every two $ + q$ charges there are n unit charges.
Keywords
This publication has 2 references indexed in Scilit:
- An exactly solvable two component classical Coulomb systemThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1984
- Interpretation of an exactly solvable two-component plasmaJournal of Statistical Physics, 1984