Constrained energy problems with applications to orthogonal polynomials of a discrete variable
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Publication:1385428
DOI10.1007/BF02843160zbMath0898.31003MaRDI QIDQ1385428
Edward B. Saff, Peter D. Dragnev
Publication date: 2 November 1998
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
logarithmic potentialequilibrium distributionexternal fieldorthogonal polynomials of a discrete variableconstrained problemlogarithmic energy minimization problem
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted analogues of capacity, transfinite diameter, and Chebyshev constant
- A problem in potential theory and zero asymptotics of Krawtchouk polynomials
- New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities
- Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable
- Krawtchouk polynomials and universal bounds for codes and designs in Hamming spaces