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Representation of functions analytic in a closed domain by series of rational functions

Authors:	T. A. Leont'eva

Affiliation:	(1) M. V. Lomonosov Moscow State University, USSR

Abstract:	A method is given for representing functions analytic in a closed Jordan domain by series of the form $sumnolimits_{n = 1}^infty {frac{{A_n }}{{z - alpha _n }}}$ (where the poles _n lie outside the domain) and a bound is obtained for the coefficients A_n.Translated from Matematicheskie Zametki, Vol. 4, No. 2, pp. 191–200, August, 1968.

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