Edit Profile Buslaev, Viktor Ivanovich Compute Distance To: Compute Author ID: buslaev.viktor-i Published as: Buslaev, V. I.; Buslaev, Viktor I. External Links: Math-Net.Ru Documents Indexed: 51 Publications since 1975 all top 5 Co-Authors 35 single-authored 9 Suetin, Sergeĭ Pavlovich 6 Buslaeva, S. F. 2 Aptekarev, Alexander Ivanovich 2 Gonchar, Andreĭ Aleksandrovich 2 Martínez-Finkelshtein, Andrei 1 Beloshapka, Valeriĭ K. 1 Dubinin, Vladimir N. 1 Fedorovskiĭ, K. Yu. 1 Goryainov, Viktor V. 1 Kruzhilin, Nikolai Georgievich 1 Nemirovskiĭ, Stefan Yur’evich 1 Orevkov, C. Yu. 1 Paramonov, Peter V. 1 Sergeev, Armen Glebovich 1 Sukhov, Alexandre B. 1 Vitushkin, Anatoliĭ Georgievich 1 Zorich, Vladimir Antonovich all top 5 Serials 10 Sbornik: Mathematics 8 Mathematical Notes 6 Proceedings of the Steklov Institute of Mathematics 4 Russian Mathematical Surveys 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Mathematics of the USSR, Sbornik 2 Analysis Mathematica 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Mathematics of the USSR. Izvestiya 2 Izvestiya: Mathematics 1 Journal of Approximation Theory 1 Soviet Mathematics. Doklady 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 East Journal on Approximations 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny all top 5 Fields 36 Functions of a complex variable (30-XX) 23 Approximations and expansions (41-XX) 10 Sequences, series, summability (40-XX) 7 Potential theory (31-XX) 4 Number theory (11-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 198 times in 78 Documents Cited by ▼ Year ▼ Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P. 19 2011 On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials. Zbl 1335.31002Buslaev, V. I.; Suetin, S. P. 13 2015 The Baker-Gammel-Wills conjecture in the theory of Padé approximants. Zbl 1063.41012Buslaev, V. I. 13 2002 An analogue of Polya’s theorem for piecewise holomorphic functions. Zbl 1406.30010Buslaev, V. I. 12 2015 On convergence of subsequences of the mth row of a Padé table. Zbl 0536.30005Buslaev, V. I.; Gonchar, A. A.; Suetin, S. P. 10 1984 Method of interior variations and existence of \(S\)-compact sets. Zbl 1298.30028Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P. 10 2012 Capacity of a compact set in a logarithmic potential field. Zbl 1335.31001Buslaev, V. I. 9 2015 Convergence of multipoint Padé approximants of piecewise analytic functions. Zbl 1276.41011Buslaev, Viktor I. 8 2013 On the convergence of continued T-fractions. Zbl 1011.30004Buslaev, V. I. 8 2001 An analog of Gonchar’s theorem for the \(m\)-point version of Leighton’s conjecture. Zbl 1367.30004Buslaev, V. I. 8 2016 On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions. Zbl 1347.41014Buslaev, Viktor I.; Suetin, Sergey P. 7 2016 On Hankel determinants of functions given by their expansions in \(P\)-fractions. Zbl 1224.30012Buslaev, V. I. 7 2010 The capacity of the rational preimage of a compact set. Zbl 1368.31001Buslaev, V. I. 7 2016 Convergence of \(m\)-point Padé approximants of a tuple of multivalued analytic functions. Zbl 1318.41010Buslaev, V. I. 6 2015 On the convergence of the Rogers-Ramanujan continued fraction. Zbl 1067.30007Buslaev, V. I. 6 2003 Simple counterexample to the Baker-Gammel-Wills conjecture. Zbl 1137.41320Buslaev, V. I. 5 2001 On the Van Vleck theorem for regular \(C\)-fractions with limit-periodic coefficients. Zbl 1023.30009Buslaev, V. I. 5 2001 On singular points of meromorphic functions determined by continued fractions. Zbl 1400.30004Buslaev, V. I. 5 2018 An estimate of the capacity of singular sets of functions that are defined by continued fractions. Zbl 1289.30017Buslaev, V. I. 4 2013 Existence of compact sets with minimum capacity in problems of rational approximation of multivalued analytic functions. Zbl 1290.31002Buslaev, V. I.; Suetin, S. P. 4 2014 Relations for the coefficients, and singular points of a function. Zbl 0632.30038Buslaev, V. I. 4 1988 Schur’s criterion for formal power series. Zbl 1461.30007Buslaev, V. I. 4 2019 Poincaré theorem for difference equations. Zbl 1108.39015Buslaev, V. I.; Buslaeva, S. F. 3 2005 Relations for coefficients and singular points of a function. Zbl 0618.30036Buslaev, V. I. 3 1986 On the Van Vleck theorem for limit-periodic continued fractions of general form. Zbl 1394.30001Buslaev, V. I. 3 2017 Continued fractions with limit periodic coefficients. Zbl 1393.30005Buslaev, Viktor I. 3 2018 On the convergence of subsequences of the m-th row of the Padé table. Zbl 0524.30005Buslaev, V. I.; Gonchar, A. A.; Suetin, S. P. 2 1983 Poincaré’s theorem and its applications to the convergence of continued fractions. Zbl 0936.39002Buslaev, V. I. 2 1998 On the Fabry ratio theorem for orthogonal series. Zbl 1351.30019Buslaev, V. I. 2 2006 An analogue of Fabry’s theorem for generalized Padé approximants. Zbl 1182.30058Buslaev, V. I. 2 2009 Convergence of a limit periodic Schur continued fraction. Zbl 1466.40001Buslaev, V. I. 2 2020 On the poles of the mth row of the Padé table. Zbl 0558.41023Buslaev, V. I. 1 1983 An estimate of the code length of signals with a finite spectrum in connection with sound-recording problems. Zbl 0328.94013Buslaev, V. I.; Vitushkin, A. G. 1 1975 Convergence of a limit periodic Schur continued fraction. Zbl 1466.40001Buslaev, V. I. 2 2020 Schur’s criterion for formal power series. Zbl 1461.30007Buslaev, V. I. 4 2019 On singular points of meromorphic functions determined by continued fractions. Zbl 1400.30004Buslaev, V. I. 5 2018 Continued fractions with limit periodic coefficients. Zbl 1393.30005Buslaev, Viktor I. 3 2018 On the Van Vleck theorem for limit-periodic continued fractions of general form. Zbl 1394.30001Buslaev, V. I. 3 2017 An analog of Gonchar’s theorem for the \(m\)-point version of Leighton’s conjecture. Zbl 1367.30004Buslaev, V. I. 8 2016 On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions. Zbl 1347.41014Buslaev, Viktor I.; Suetin, Sergey P. 7 2016 The capacity of the rational preimage of a compact set. Zbl 1368.31001Buslaev, V. I. 7 2016 On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials. Zbl 1335.31002Buslaev, V. I.; Suetin, S. P. 13 2015 An analogue of Polya’s theorem for piecewise holomorphic functions. Zbl 1406.30010Buslaev, V. I. 12 2015 Capacity of a compact set in a logarithmic potential field. Zbl 1335.31001Buslaev, V. I. 9 2015 Convergence of \(m\)-point Padé approximants of a tuple of multivalued analytic functions. Zbl 1318.41010Buslaev, V. I. 6 2015 Existence of compact sets with minimum capacity in problems of rational approximation of multivalued analytic functions. Zbl 1290.31002Buslaev, V. I.; Suetin, S. P. 4 2014 Convergence of multipoint Padé approximants of piecewise analytic functions. Zbl 1276.41011Buslaev, Viktor I. 8 2013 An estimate of the capacity of singular sets of functions that are defined by continued fractions. Zbl 1289.30017Buslaev, V. I. 4 2013 Method of interior variations and existence of \(S\)-compact sets. Zbl 1298.30028Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P. 10 2012 Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P. 19 2011 On Hankel determinants of functions given by their expansions in \(P\)-fractions. Zbl 1224.30012Buslaev, V. I. 7 2010 An analogue of Fabry’s theorem for generalized Padé approximants. Zbl 1182.30058Buslaev, V. I. 2 2009 On the Fabry ratio theorem for orthogonal series. Zbl 1351.30019Buslaev, V. I. 2 2006 Poincaré theorem for difference equations. Zbl 1108.39015Buslaev, V. I.; Buslaeva, S. F. 3 2005 On the convergence of the Rogers-Ramanujan continued fraction. Zbl 1067.30007Buslaev, V. I. 6 2003 The Baker-Gammel-Wills conjecture in the theory of Padé approximants. Zbl 1063.41012Buslaev, V. I. 13 2002 On the convergence of continued T-fractions. Zbl 1011.30004Buslaev, V. I. 8 2001 Simple counterexample to the Baker-Gammel-Wills conjecture. Zbl 1137.41320Buslaev, V. I. 5 2001 On the Van Vleck theorem for regular \(C\)-fractions with limit-periodic coefficients. Zbl 1023.30009Buslaev, V. I. 5 2001 Poincaré’s theorem and its applications to the convergence of continued fractions. Zbl 0936.39002Buslaev, V. I. 2 1998 Relations for the coefficients, and singular points of a function. Zbl 0632.30038Buslaev, V. I. 4 1988 Relations for coefficients and singular points of a function. Zbl 0618.30036Buslaev, V. I. 3 1986 On convergence of subsequences of the mth row of a Padé table. Zbl 0536.30005Buslaev, V. I.; Gonchar, A. A.; Suetin, S. P. 10 1984 On the convergence of subsequences of the m-th row of the Padé table. Zbl 0524.30005Buslaev, V. I.; Gonchar, A. A.; Suetin, S. P. 2 1983 On the poles of the mth row of the Padé table. Zbl 0558.41023Buslaev, V. I. 1 1983 An estimate of the code length of signals with a finite spectrum in connection with sound-recording problems. Zbl 0328.94013Buslaev, V. I.; Vitushkin, A. G. 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 62 Authors 17 Buslaev, Viktor Ivanovich 14 Suetin, Sergeĭ Pavlovich 10 Lubinsky, Doron S. 6 López Lagomasino, Guillermo Tomás 4 Starovoĭtov, Aleksandr Pavlovich 3 Bosuwan, Nattapong 3 Komlov, Aleksandr V. 3 Martínez-Finkelshtein, Andrei 3 Rakhmanov, Evgenij Andreevich 2 Baker, George Allen jun. 2 Baratchart, Laurent 2 Costin, Ovidiu 2 Donninger, Roland 2 Glogić, Irfan 2 Han, Guo-Niu 2 Lysov, V. G. 2 Saff, Edward Barry 2 Silva, Guilherme L. F. 2 Tulyakov, Dmitrii N. 2 Yattselev, Maxim L. 1 Aistleitner, Christoph 1 Barrios Rolanía, D. 1 Cacoq, J. 1 Charpentier, Stéphane 1 Chirka, Evgeni M. 1 de la Calle Ysern, Bernardo 1 Derevyagin, Maxim S. 1 Derkach, Vladimir Alexandrovich 1 Dinh Dũng 1 Drapeza, A. A. 1 Dyachenko, Sergey A. 1 García, Zebenzuí 1 Gerpe, Y. Zaldivar 1 Graves-Morris, Peter R. 1 Grepstad, Sigrid 1 Huang, Min 1 Karabut, E. A. 1 Kechko, Elena Petrovna 1 Khristoforov, D. V. 1 Knopfmacher, Arnold 1 Korotkevich, Aleksandr Olegovich 1 Kovacheva, Ralitsa Krumova 1 Kuzhuget, A. A. 1 Larcher, Gerhard 1 Lorentzen, Lisa 1 Lushnikov, Pavel Mikhaĭlovich 1 Marcovecchio, Raffaele 1 Matos, João C. 1 Matos, José A. 1 Mezzarobba, Marc 1 Nestoridis, Vassili 1 Neumüller, Mario 1 Pillichshammer, Friedrich 1 Rocha, Ignacio A. 1 Rodrigues, Maria João 1 Saad Eddin, Sumaia 1 Salvy, Bruno 1 Sidortsov, M. V. 1 Stahl, Herbert Robert 1 Tichy, Robert Franz 1 Vasconcelos, Paulo Beleza 1 Wielonsky, Franck all top 5 Cited in 34 Serials 14 Proceedings of the Steklov Institute of Mathematics 9 Mathematical Notes 7 Sbornik: Mathematics 5 Constructive Approximation 4 Advances in Mathematics 4 Journal of Approximation Theory 3 Russian Mathematical Surveys 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Computational and Applied Mathematics 2 Transactions of the Moscow Mathematical Society 1 Journal d’Analyse Mathématique 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Numerische Mathematik 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Applied Numerical Mathematics 1 Journal of Symbolic Computation 1 European Journal of Applied Mathematics 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Computational Methods and Function Theory 1 Advances in Difference Equations 1 Analysis and Mathematical Physics 1 Problemy Fiziki, Matematiki i Tekhniki all top 5 Cited in 20 Fields 52 Functions of a complex variable (30-XX) 43 Approximations and expansions (41-XX) 11 Potential theory (31-XX) 7 Sequences, series, summability (40-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Number theory (11-XX) 6 Special functions (33-XX) 5 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 3 Difference and functional equations (39-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year