Electrostatic models for zeros of polynomials: Old, new, and some open problems
By Francisco Marcellán, Andrei Martínez-Finkelshtein, P. Martínez-González. 2005
59 citations recorded by the source corpus.
We give a survey concerning both very classical and recent results on the electrostatic interpretation of the zeros of some well-known families of polynomials, and the interplay between these models and the asymptotic distribution of their zeros when the degree of the polynomials tends to infinity. The leading role is played by the differential equation satisfied by these polynomials. Some new developments, applications and open problems are presented.
Subfields: Algebra and Number Theory, Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/0dcb9ce6748ed54d35cb3a81710e03a58cb8761b
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In Algebra and Number Theory
In Applied Mathematics
- Evguenii Rakhmanov
- Andrei Martínez-Finkelshtein
- Maxim L. Yattselev
- Alexander I. Aptekarev
- Jun Rong Ong
- John P. Boyd
In Modeling and Simulation
Citations in the corpus
- Critical Measures, Quadratic Differentials, and Weak Limits of Zeros of Stieltjes Polynomials (2009, background): “6) and its connection with Jacobi polynomials was discussed in [57].”