On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials
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Publication:902070
DOI10.1134/S008154381506022XzbMath1335.31002MaRDI QIDQ902070
Sergey P. Suetin, Viktor I. Buslaev
Publication date: 7 January 2016
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Approximation by rational functions (41A20) Padé approximation (41A21) Capacity and harmonic measure in the complex plane (30C85) Simultaneous approximation (41A28) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
Related Items (15)
An analog of Gonchar's theorem for the \(m\)-point version of Leighton's conjecture ⋮ Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Continued fractions with limit periodic coefficients ⋮ On the distribution of the zeros of the Hermite-Padé polynomials for a quadruple of functions ⋮ On the Van Vleck theorem for limit-periodic continued fractions of general form ⋮ On a vector potential-theory equilibrium problem with the Angelesco matrix ⋮ On some properties of Hermite-Padé approximants to an exponential system ⋮ Distribution of the zeros of Hermite–Padé polynomials for a complex Nikishin system ⋮ Unnamed Item ⋮ On the supports of vector equilibrium measures in the Angelesco problem with nested intervals ⋮ Hermite-Padé approximants of the Mittag-Leffler functions ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Potentials on a compact Riemann surface ⋮ Equivalence of a scalar and a vector equilibrium problem for a pair of functions forming a Nikishin system ⋮ On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions
Cites Work
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- Method of interior variations and existence of \(S\)-compact sets
- On convergence of simultaneous Padé approximants for systems of functions of Markov type
- The convergence of Padé approximants to functions with branch points
- Rational approximation of analytic functions
- A family of Nikishin systems with periodic recurrence coefficients
- Convergence of multipoint Padé approximants of piecewise analytic functions
- Variation of the equilibrium energy and theS-property of stationary compact sets
- On the equilibrium problem for vector potentials
- EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
- EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
- Asymptotic behaviour of the Hermite-Padé polynomials of the 1st kind for a pair of functions forming a Nikishin system
- Existence of compact sets with minimum capacity in problems of rational approximation of multivalued analytic functions
- An asymptotic formula for polynomials orthonormal with respect to a varying weight. II
- The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations
- Padé-Chebyshev approximants of multivalued analytic functions, variation of equilibrium energy, and the $ S$-property of stationary compact sets
- The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system
- Orthogonal Polynomials and 𝑆-curves
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