Stieltjes polynomials are orthogonal polynomials with respect to the sign changing weight function \(w P_{n}(\cdot, w)\), where \(P_{n}(\cdot, w)\) is the \(n\)th orthogonal polynomial with respect to w. Zeros of Stieltjes polynomials are nodes of Gauss-Kronrod quadrature formulae, which are basic f
✦ LIBER ✦
Asymptotic Properties of Heine–Stieltjes and Van Vleck Polynomials
✍ Scribed by A. Martı́nez-Finkelshtein; E. B. Saff
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 210 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0021-9045
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An asymptotic method of analysis of fluctuations in systems far from equilibrium is developed. A systematic singular perturbative expansion of the equation for the generating function is set up, using as smallness parameter the inverse of the size of the system. Static and time-dependent properties