Abstract:
This paper is concerned with joint multipoint rational approximants with a common denominator for three beta functions. The limit distributions of the zeros of the denominators are obtained in terms of equilibrium logarithmic potentials and in terms of meromorphic functions on Riemann surfaces.
Key words and phrases:Hermite–Padé approximants, orthogonal polynomials, equilibrium problems, saddle-point method, algebraic function, Riemann surface.
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