Rational approximation of analytic functions

A. A. Gonchar, “On Problems of E. I. Zolotarev Related to Rational Functions,” Mat. Sb. 78, 640–654 (1969).

A. A. Gonchar, “A Local Condition for the Single-Valuedness of Analytic Functions,” Mat. Sb. 89(1), 148–164 (1972).

A. A. Gonchar, “On the Convergence of Padé Approximants,” Mat. Sb. 92(1), 152–164 (1973).

A. A. Gonchar, “A Local Condition for the Single-Valuedness of Analytic Functions of Several Variables,” Mat. Sb. 93(2), 296–313 (1974).

A. A. Gonchar, “The Rate of Rational Approximation and the Single-Valuedness of an Analytic Function in a Neighborhood of an Isolated Singular Point,” Mat. Sb. 94(2), 265–282 (1974).

A. A. Gonchar, “On the Convergence of Padé Approximants for Some Classes of Meromorphic Functions,” Mat. Sb. 97, 607–629 (1975).

A. A. Gonchar, “On the Convergence of Generalized Padé Approximants forMeromorphic Functions,” Mat. Sb. 98(4), 564–577 (1975).

A. A. Gonchar, “On the Rate of Rational Approximation for Some Analytic Functions,” Mat. Sb. 105(2), 147–164 (1978).

A. A. Gonchar and G. Lopez, “On Markov’s Theorem for Multipoint Padé Approximants,” Mat. Sb. 105(4), 512–524 (1978).

A. A. Gonchar and K. M. Lungu, “Poles of Diagonal Padé Approximants and the Analytic Continuation of Functions,” Mat. Sb. 111(2), 279–292 (1980).

A. A. Gonchar and E. A. Rakhmanov, “On the convergence of Simultaneous Padé Approximants for Systems of Markov-Type Functions,” in Tr.Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 157, 31–48 (1981).

A. A. Gonchar, “The Poles of Rows in the Padé Table and Meromorphic Continuation of Functions,” Mat. Sb. 115(4), 590–613 (1981).

A. A. Gonchar, “On the Uniform Convergence of Diagonal Padé Approximants,” Mat. Sb. 118(4), 535–556 (1982).

A. A. Gonchar, “On the Rate of Rational Approximation of analytic functions,” in Tr. Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 166, 52–60 (1984).

A. A. Gonchar and E. A. Rakhmanov, “Equilibrium Measure and the Distribution of Zeros of Extremal Polynomials,” Mat. Sb. 125(1), 117–127 (1984) [Math. USSR Sb. 53 (1), 119–130 (1986)].

A. A. Gonchar, “On the Convergence of Diagonal Padé Approximants in the Spherical Metric,” in Mathematical Structures-Computational Mathematics-Mathematical Modeling(Sofia, 1984), Vol. 2, pp. 29–35 [in Russian].

A. A. Gonchar and E. A. Rakhmanov, “On the Equilibrium Problem for Vector Potentials,” Usp. Mat. Nauk 40(4), 155–156 (1985) [Russian Math. Surveys 40, 183–184 (1985)].

A. A. Gonchar, “Rational Approximation of Analytic Functions,” in Proceedings of International Congress of Mathematicians, Berkeley, USA, 1986 (Amer. Math. Soc., Providence, RI, 1987), Vol. 1, pp. 739–748.

A. A. Gonchar and E. A. Rakhmanov, “Equilibrium Distributions and the Rate of Rational Approximation of Analytic Functions,” Mat. Sb. 134(3), 306–352 (1987) [Math. USSR Sb. 62 (2), 305–348 (1989)].

A. A. Gonchar, E. A. Rakhmanov, and S. P. Suetin, “On the Convergence of Padé Approximation of Orthogonal Expansions,” in Tr.Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 200, 136–146 (1991) [Proc. Steklov Inst. Math. 200, 149–159 (1991)].

A. A. Gonchar, E. A. Rakhmanov, and V. N. Sorokin, “On Hermite-Padé Approximants for Systems of Markov-Type Functions,” Mat. Sb. 188(5), 33–58 (1997) [Sb.Math. 188, 671–696 (1997)].