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## Pogorui, Anatoliy A.

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 Author ID: pogorui.anatoliy-a Published as: Pogorui, A.; Pogorui, A. A.; Pogorui, Anatoliy; Pogorui, Anatoliy A.; Pogorui, Anatoly A.; Pogoruj, A. A.; Pogoruy, Anatoliy A. External Links: Math-Net.Ru
 Documents Indexed: 43 Publications since 1989 Reviewing Activity: 77 Reviews
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#### Co-Authors

 12 single-authored 25 Rodríguez-Dagnino, Ramón Martín 4 Kolomiiets, Tamila Yu. 3 Rodríguez-Said, Roberto D. 3 Shapiro, Michael V. 1 Kolomiets, T. 1 Kovalenko, D. O. 1 Luna-Elizarrarás, María Elena 1 Turbin, Anatoly F.
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#### Serials

 10 Random Operators and Stochastic Equations 4 Ukrainian Mathematical Journal 4 Complex Variables and Elliptic Equations 3 Journal of Mathematical Sciences (New York) 3 Theory of Stochastic Processes 2 Journal of Statistical Physics 2 Advances in Applied Clifford Algebras 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Mathematical Methods in the Applied Sciences 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Applied Mathematics and Computation 1 Complex Variables. Theory and Application 1 Statistics & Probability Letters 1 Cybernetics and Systems Analysis 1 Theory of Probability and Mathematical Statistics 1 Markov Processes and Related Fields 1 Stochastic Models 1 Applied Mathematics
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#### Fields

 27 Probability theory and stochastic processes (60-XX) 7 Functions of a complex variable (30-XX) 7 Partial differential equations (35-XX) 3 Field theory and polynomials (12-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 132 times in 103 Documents Cited by Year
On the structure of the set of zeros of quaternionic polynomials. Zbl 1160.30353
Pogorui, A.; Shapiro, M.
2004
Isotropic random motion at finite speed with $$K$$-Erlang distributed direction alternations. Zbl 1238.60096
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2011
Some algebraic and analytical properties of coquaternion algebra. Zbl 1186.37053
Pogoruy, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2010
One-dimensional semi-Markov evolutions with general Erlang sojourn times. Zbl 1116.60051
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M.
2005
Random motion with gamma steps in higher dimensions. Zbl 1281.60082
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2013
Random motion with uniformly distributed directions and random velocity. Zbl 1246.82043
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2012
Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras. Zbl 1320.35015
Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael
2014
The first passage time and estimation of the number of level-crossings for a telegraph process. Zbl 1373.60133
Pogorui, A. A.; Rodríguez-Dagnino, R. M.; Kolomiets, T.
2015
The distribution of random evolution in Erlang semi-Markov media. Zbl 1249.60196
Pogorui, A.
2011
On the set of zeros of bicomplex polynomials. Zbl 1104.30005
Pogorui, A. A.; Rodríguez-Dagnino, R. M.
2006
Goldstein-Kac telegraph equations and random flights in higher dimensions. Zbl 1428.60140
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2019
Hyperholomorphic functions on commutative algebras. Zbl 1134.30337
Pogorui, Anatoliy A.
2007
Estimation of stationary efficiency of a production line with two unreliable aggregates. Zbl 1026.90505
Pogorui, A. A.; Turbin, A. F.
2002
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions. Zbl 1362.35097
Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M.
2017
The distribution of random motion with Erlang-3 sojourn times. Zbl 1328.60228
Kolomiiets, Tamila; Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2015
System of interacting particles with Markovian switching. Zbl 1289.82008
Pogorui, A. A.
2012
Asymptotic expansion for transport processes in semi-Markov media. Zbl 1253.60094
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M.
2011
Limiting distribution of fading evolution in some semi-Markov media. Zbl 1224.60231
Pogorui, A.; Rodriguez-Dagnino, R. M.
2009
Asymptotic expansion for the distribution of a Markovian random motion. Zbl 1224.60207
Pogorui, Anatoly A.
2009
Evolution process as an alternative to diffusion process and Black-Scholes formula. Zbl 1224.91196
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M.
2009
On the set of zeros of bihyperbolic polynomials. Zbl 1158.30300
Pogorui, A. A.; Rodríguez-Dagnino, R. M.; Rodríguez-Said, R. D.
2008
Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer. Zbl 1199.60322
Rodríguez-Said, R. D.; Pogorui, A. A.; Rodríguez-Dagnino, R. M.
2007
Goldstein-Kac telegraph equations and random flights in higher dimensions. Zbl 1428.60140
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2019
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions. Zbl 1362.35097
Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M.
2017
The first passage time and estimation of the number of level-crossings for a telegraph process. Zbl 1373.60133
Pogorui, A. A.; Rodríguez-Dagnino, R. M.; Kolomiets, T.
2015
The distribution of random motion with Erlang-3 sojourn times. Zbl 1328.60228
Kolomiiets, Tamila; Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2015
Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras. Zbl 1320.35015
Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael
2014
Random motion with gamma steps in higher dimensions. Zbl 1281.60082
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2013
Random motion with uniformly distributed directions and random velocity. Zbl 1246.82043
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2012
System of interacting particles with Markovian switching. Zbl 1289.82008
Pogorui, A. A.
2012
Isotropic random motion at finite speed with $$K$$-Erlang distributed direction alternations. Zbl 1238.60096
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2011
The distribution of random evolution in Erlang semi-Markov media. Zbl 1249.60196
Pogorui, A.
2011
Asymptotic expansion for transport processes in semi-Markov media. Zbl 1253.60094
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M.
2011
Some algebraic and analytical properties of coquaternion algebra. Zbl 1186.37053
Pogoruy, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2010
Limiting distribution of fading evolution in some semi-Markov media. Zbl 1224.60231
Pogorui, A.; Rodriguez-Dagnino, R. M.
2009
Asymptotic expansion for the distribution of a Markovian random motion. Zbl 1224.60207
Pogorui, Anatoly A.
2009
Evolution process as an alternative to diffusion process and Black-Scholes formula. Zbl 1224.91196
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M.
2009
On the set of zeros of bihyperbolic polynomials. Zbl 1158.30300
Pogorui, A. A.; Rodríguez-Dagnino, R. M.; Rodríguez-Said, R. D.
2008
Hyperholomorphic functions on commutative algebras. Zbl 1134.30337
Pogorui, Anatoliy A.
2007
Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer. Zbl 1199.60322
Rodríguez-Said, R. D.; Pogorui, A. A.; Rodríguez-Dagnino, R. M.
2007
On the set of zeros of bicomplex polynomials. Zbl 1104.30005
Pogorui, A. A.; Rodríguez-Dagnino, R. M.
2006
One-dimensional semi-Markov evolutions with general Erlang sojourn times. Zbl 1116.60051
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M.
2005
On the structure of the set of zeros of quaternionic polynomials. Zbl 1160.30353
Pogorui, A.; Shapiro, M.
2004
Estimation of stationary efficiency of a production line with two unreliable aggregates. Zbl 1026.90505
Pogorui, A. A.; Turbin, A. F.
2002
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#### Cited by 101 Authors

 18 Pogorui, Anatoliy A. 18 Rodríguez-Dagnino, Ramón Martín 9 Gentili, Graziano 6 De Gregorio, Alessandro 6 Opfer, Gerhard 6 Orsingher, Enzo 6 Stoppato, Caterina 6 Struppa, Daniele Carlo 5 Falcão, Maria Irene 5 Janovská, Drahoslava 4 Miranda, Fernando 4 Severino, Ricardo 4 Soares, Maria Joana 3 Ghiloni, Riccardo 3 Jiang, Tongsong 3 Jiang, Ziwu 3 Martinucci, Barbara 3 Mierzejewski, Dmytro A. 3 Perotti, Alessandro 3 Rodríguez-Said, Roberto D. 3 Zhang, Zhaozhong 2 Bolotnikov, Vladimir 2 Cheng, Dong 2 Di Crescenzo, Antonio 2 Dospra, Petroula 2 Farouki, Rida T. 2 Kolesnik, Alexander D. 2 Kolomiiets, Tamila Yu. 2 Kou, Kit-Ian 2 Le Caër, Gérard 2 Liu, Mingsheng 2 Pogorui, A. O. 2 Ratanov, Nikita 2 Sakkalis, Takis 2 Shapiro, Michael V. 2 Shpakivskyi, Vitalii Stanislavovich 2 Vlacci, Fabio 2 Xia, Yonghui 1 Abramo, L. Raul W. 1 Ahamadi, Sara 1 Akkus, Ilker 1 Ali, Istkhar 1 Antonuccio, Francesco 1 Beghin, Luisa 1 Bidkham, Mahmood 1 Bilgin, Merve 1 Casini, Emanuele 1 Cheng, Xuehan 1 Cinque, F. 1 Colombo, Fabrizio 1 Damiano, Alberto 1 d’Eon, Eugene 1 Dinh, Doan Cong 1 Ersoy, Soley 1 Feng, Lianggui 1 Ferreira, José Augusto 1 Flaut, Cristina 1 Garra, Roberto 1 Giannelli, Carlotta 1 Huang, Lei 1 Jafari, Habib 1 Jia, Zhigang 1 Kalantari, Bahman 1 Kameli Donachali, A. 1 Kızılaslan, Gonca 1 Ko, Kwanghee 1 Kolomiets, T. 1 Korolyuk, Volodymyr Semenovych 1 Koundal, Reena 1 Kumar, Rakesh 1 Li, Hongbo 1 López, Oscar A. 1 Luna-Elizarrarás, María Elena 1 Macias-Virgós, Enrique 1 Martinelli, Andrea 1 Meoli, Alessandra 1 Olszak, Karina 1 Olszak, Zbigniew 1 Pereira-Sáez, María José 1 Plaksa, Sergiĭ Anatoliĭovych 1 Poulakis, Dimitrios 1 Reimberg, Paulo H. F. 1 Sabadini, Irene 1 Safique Ahmad, Sk. 1 Samoilenko, Igor V. 1 Serôdio, Rogério 1 Sestini, Alessandra 1 Shao, Changpeng 1 Shehzad, Sabir Ali 1 Slapničar, Ivan 1 Song, Galam 1 Tang, Yan 1 Vâjiac, Adrian I. 1 Vignozzi, Irene 1 Vitoria, Jose 1 Xiang, Na 1 Xu, Wei 1 Yang, Yan 1 Yao, Bo 1 Zacks, Shelemyahu ...and 1 more Authors
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#### Cited in 44 Serials

 18 Advances in Applied Clifford Algebras 7 Journal of Statistical Physics 6 Journal of Mathematical Sciences (New York) 4 Journal of Mathematical Physics 4 Theory of Probability and Mathematical Statistics 4 Complex Variables and Elliptic Equations 3 Advances in Mathematics 3 Applied Mathematics and Computation 3 Annals of Global Analysis and Geometry 3 Journal of Symbolic Computation 3 Random Operators and Stochastic Equations 2 Computers & Mathematics with Applications 2 Linear and Multilinear Algebra 2 Mathematical Methods in the Applied Sciences 2 Ukrainian Mathematical Journal 2 Journal of Applied Probability 2 Statistics & Probability Letters 2 Stochastic Processes and their Applications 2 Methodology and Computing in Applied Probability 2 Journal of Algebra and its Applications 2 International Journal of Applied and Computational Mathematics 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Transport Theory and Statistical Physics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Journal of Complexity 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Qualitative Theory of Dynamical Systems 1 Advances in Geometry 1 Stochastic Models 1 Stochastics and Dynamics 1 Stochastics 1 Complex Analysis and Operator Theory 1 Analysis and Mathematical Physics 1 Journal of Applied Analysis and Computation
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#### Cited in 26 Fields

 33 Functions of a complex variable (30-XX) 28 Probability theory and stochastic processes (60-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Numerical analysis (65-XX) 15 Number theory (11-XX) 12 Partial differential equations (35-XX) 11 Field theory and polynomials (12-XX) 9 Associative rings and algebras (16-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Several complex variables and analytic spaces (32-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)