## Buslaev, Viktor Ivanovich

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 Author ID: buslaev.viktor-i Published as: Buslaev, V. I.; Buslaev, Viktor I. External Links: Math-Net.Ru
 Documents Indexed: 52 Publications since 1975 Co-Authors: 17 Co-Authors with 16 Joint Publications 517 Co-Co-Authors
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### Co-Authors

 36 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
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### Serials

 10 Sbornik: Mathematics 9 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
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### Fields

 37 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)

### Citations contained in zbMATH Open

35 Publications have been cited 213 times in 82 Documents Cited by Year
Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014
Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
2011
The Baker-Gammel-Wills conjecture in the theory of Padé approximants. Zbl 1063.41012
Buslaev, V. I.
2002
On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials. Zbl 1335.31002
Buslaev, V. I.; Suetin, S. P.
2015
An analogue of Polya’s theorem for piecewise holomorphic functions. Zbl 1406.30010
Buslaev, V. I.
2015
On convergence of subsequences of the mth row of a Padé table. Zbl 0536.30005
Buslaev, V. I.; Gonchar, A. A.; Suetin, S. P.
1984
Method of interior variations and existence of $$S$$-compact sets. Zbl 1298.30028
Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
2012
Convergence of multipoint Padé approximants of piecewise analytic functions. Zbl 1276.41011
Buslaev, Viktor I.
2013
Capacity of a compact set in a logarithmic potential field. Zbl 1335.31001
Buslaev, V. I.
2015
An analog of Gonchar’s theorem for the $$m$$-point version of Leighton’s conjecture. Zbl 1367.30004
Buslaev, V. I.
2016
On the convergence of continued T-fractions. Zbl 1011.30004
Buslaev, V. I.
2001
Convergence of $$m$$-point Padé approximants of a tuple of multivalued analytic functions. Zbl 1318.41010
Buslaev, V. I.
2015
On Hankel determinants of functions given by their expansions in $$P$$-fractions. Zbl 1224.30012
Buslaev, V. I.
2010
On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions. Zbl 1347.41014
Buslaev, Viktor I.; Suetin, Sergey P.
2016
The capacity of the rational preimage of a compact set. Zbl 1368.31001
Buslaev, V. I.
2016
On the convergence of the Rogers-Ramanujan continued fraction. Zbl 1067.30007
Buslaev, V. I.
2003
On singular points of meromorphic functions determined by continued fractions. Zbl 1400.30004
Buslaev, V. I.
2018
On the Van Vleck theorem for regular $$C$$-fractions with limit-periodic coefficients. Zbl 1023.30009
Buslaev, V. I.
2001
Simple counterexample to the Baker-Gammel-Wills conjecture. Zbl 1137.41320
Buslaev, V. I.
2001
Existence of compact sets with minimum capacity in problems of rational approximation of multivalued analytic functions. Zbl 1290.31002
Buslaev, V. I.; Suetin, S. P.
2014
An estimate of the capacity of singular sets of functions that are defined by continued fractions. Zbl 1289.30017
Buslaev, V. I.
2013
On the Van Vleck theorem for limit-periodic continued fractions of general form. Zbl 1394.30001
Buslaev, V. I.
2017
Schur’s criterion for formal power series. Zbl 1461.30007
Buslaev, V. I.
2019
Relations for the coefficients, and singular points of a function. Zbl 0632.30038
Buslaev, V. I.
1988
Continued fractions with limit periodic coefficients. Zbl 1393.30005
Buslaev, Viktor I.
2018
Poincaré theorem for difference equations. Zbl 1108.39015
Buslaev, V. I.; Buslaeva, S. F.
2005
Relations for coefficients and singular points of a function. Zbl 0618.30036
Buslaev, V. I.
1986
On the convergence of subsequences of the m-th row of the Padé table. Zbl 0524.30005
Buslaev, V. I.; Gonchar, A. A.; Suetin, S. P.
1983
An analogue of Fabry’s theorem for generalized Padé approximants. Zbl 1182.30058
Buslaev, V. I.
2009
On the Fabry ratio theorem for orthogonal series. Zbl 1351.30019
Buslaev, V. I.
2006
Poincaré’s theorem and its applications to the convergence of continued fractions. Zbl 0936.39002
Buslaev, V. I.
1998
Convergence of a limit periodic Schur continued fraction. Zbl 1466.40001
Buslaev, V. I.
2020
On the poles of the mth row of the Padé table. Zbl 0558.41023
Buslaev, V. I.
1983
An estimate of the code length of signals with a finite spectrum in connection with sound-recording problems. Zbl 0328.94013
Buslaev, V. I.; Vitushkin, A. G.
1975
Schur’s criterion for formal Newton series. Zbl 1456.30002
Buslaev, V. I.
2020
Necessary and sufficient conditions for extending a function to a Schur function. Zbl 1461.30084
Buslaev, Viktor I.
2020
Convergence of a limit periodic Schur continued fraction. Zbl 1466.40001
Buslaev, V. I.
2020
Schur’s criterion for formal Newton series. Zbl 1456.30002
Buslaev, V. I.
2020
Necessary and sufficient conditions for extending a function to a Schur function. Zbl 1461.30084
Buslaev, Viktor I.
2020
Schur’s criterion for formal power series. Zbl 1461.30007
Buslaev, V. I.
2019
On singular points of meromorphic functions determined by continued fractions. Zbl 1400.30004
Buslaev, V. I.
2018
Continued fractions with limit periodic coefficients. Zbl 1393.30005
Buslaev, Viktor I.
2018
On the Van Vleck theorem for limit-periodic continued fractions of general form. Zbl 1394.30001
Buslaev, V. I.
2017
An analog of Gonchar’s theorem for the $$m$$-point version of Leighton’s conjecture. Zbl 1367.30004
Buslaev, V. I.
2016
On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions. Zbl 1347.41014
Buslaev, Viktor I.; Suetin, Sergey P.
2016
The capacity of the rational preimage of a compact set. Zbl 1368.31001
Buslaev, V. I.
2016
On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials. Zbl 1335.31002
Buslaev, V. I.; Suetin, S. P.
2015
An analogue of Polya’s theorem for piecewise holomorphic functions. Zbl 1406.30010
Buslaev, V. I.
2015
Capacity of a compact set in a logarithmic potential field. Zbl 1335.31001
Buslaev, V. I.
2015
Convergence of $$m$$-point Padé approximants of a tuple of multivalued analytic functions. Zbl 1318.41010
Buslaev, V. I.
2015
Existence of compact sets with minimum capacity in problems of rational approximation of multivalued analytic functions. Zbl 1290.31002
Buslaev, V. I.; Suetin, S. P.
2014
Convergence of multipoint Padé approximants of piecewise analytic functions. Zbl 1276.41011
Buslaev, Viktor I.
2013
An estimate of the capacity of singular sets of functions that are defined by continued fractions. Zbl 1289.30017
Buslaev, V. I.
2013
Method of interior variations and existence of $$S$$-compact sets. Zbl 1298.30028
Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
2012
Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014
Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
2011
On Hankel determinants of functions given by their expansions in $$P$$-fractions. Zbl 1224.30012
Buslaev, V. I.
2010
An analogue of Fabry’s theorem for generalized Padé approximants. Zbl 1182.30058
Buslaev, V. I.
2009
On the Fabry ratio theorem for orthogonal series. Zbl 1351.30019
Buslaev, V. I.
2006
Poincaré theorem for difference equations. Zbl 1108.39015
Buslaev, V. I.; Buslaeva, S. F.
2005
On the convergence of the Rogers-Ramanujan continued fraction. Zbl 1067.30007
Buslaev, V. I.
2003
The Baker-Gammel-Wills conjecture in the theory of Padé approximants. Zbl 1063.41012
Buslaev, V. I.
2002
On the convergence of continued T-fractions. Zbl 1011.30004
Buslaev, V. I.
2001
On the Van Vleck theorem for regular $$C$$-fractions with limit-periodic coefficients. Zbl 1023.30009
Buslaev, V. I.
2001
Simple counterexample to the Baker-Gammel-Wills conjecture. Zbl 1137.41320
Buslaev, V. I.
2001
Poincaré’s theorem and its applications to the convergence of continued fractions. Zbl 0936.39002
Buslaev, V. I.
1998
Relations for the coefficients, and singular points of a function. Zbl 0632.30038
Buslaev, V. I.
1988
Relations for coefficients and singular points of a function. Zbl 0618.30036
Buslaev, V. I.
1986
On convergence of subsequences of the mth row of a Padé table. Zbl 0536.30005
Buslaev, V. I.; Gonchar, A. A.; Suetin, S. P.
1984
On the convergence of subsequences of the m-th row of the Padé table. Zbl 0524.30005
Buslaev, V. I.; Gonchar, A. A.; Suetin, S. P.
1983
On the poles of the mth row of the Padé table. Zbl 0558.41023
Buslaev, V. I.
1983
An estimate of the code length of signals with a finite spectrum in connection with sound-recording problems. Zbl 0328.94013
Buslaev, V. I.; Vitushkin, A. G.
1975
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### Cited by 62 Authors

 18 Buslaev, Viktor Ivanovich 14 Suetin, Sergeĭ Pavlovich 10 Lubinsky, Doron S. 6 López Lagomasino, Guillermo Tomás 4 Komlov, Aleksandr V. 4 Starovoĭtov, Aleksandr Pavlovich 4 Yattselev, Maxim L. 3 Bosuwan, Nattapong 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, Vladimir G. 2 Saff, Edward Barry 2 Silva, Guilherme L. F. 2 Tulyakov, Dmitrii N. 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, Volodymyr Oleksandrovych 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
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### Cited in 34 Serials

 14 Proceedings of the Steklov Institute of Mathematics 11 Mathematical Notes 8 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
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### Cited in 20 Fields

 56 Functions of a complex variable (30-XX) 45 Approximations and expansions (41-XX) 11 Potential theory (31-XX) 7 Sequences, series, summability (40-XX) 6 Number theory (11-XX) 6 Special functions (33-XX) 6 Harmonic analysis on Euclidean spaces (42-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)