Abstract:
We state a new interpolation problem, which we solve using Salikhov's integral. This was previously used in the theory of Diophantine approximations. We study the asymptotic behaviour of orthogonal polynomials related to this problem.
Key words and phrases:Approximations of logarithms, Hermite–Padé approximations, saddle-point method, algebraic functions and Riemann surfaces, equilibrium logarithmic potentials.
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