Equilibrium and orthogonal polynomials (Q2761489)
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scientific article; zbMATH DE number 1685455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equilibrium and orthogonal polynomials |
scientific article; zbMATH DE number 1685455 |
Statements
6 January 2002
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Jacobian polynomials
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equilibrium distribution
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Equilibrium and orthogonal polynomials (English)
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The paper is devoted to the study of the maximum of the absolute value of the Vandermonde determinant \(V(x_1,x_2, \dots, x_n)\) or some generalizations of it under suitable restrictions on the variables. It is shown that the maximum is obtained at the zeros of some Jacobi polynomials. Finally, similar results concerning the Hermite, Laguerre or Chebyshev polynomials are given.
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