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Padé-Type Approximants of Markov and Meromorphic Functions
Authors:Amiran Ambroladze  Hans Wallin
Affiliation:aDepartment of Mathematics, Tbilisi University, Republic of Georgia;bDepartment of Mathematics, Umeå University, S-901 87, Umeå, Sweden
Abstract:We study the question of convergence of Padé and Padé-type approximants to functions meromorphic in a domain. As an example we investigate in detail the case of functions of the formView the MathML sourcewhereμ(z) is a Markov function.
Keywords:Approximation theory   Padé   and Padé   type approximation   Markov functions   convergence results   orthogonal polynomials
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