Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M. Isotropic evolution process with Gauss-distributed particle position in \(\mathbb{R}^d\). (English) Zbl 1539.60013 J. Math. Sci., New York 279, No. 1, 92-98 (2024); and Ukr. Mat. Visn. 20, No. 4, 577-585 (2023). Reviewer: Renming Song (Urbana) MSC: 60D05 60K37 60G55 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, J. Math. Sci., New York 279, No. 1, 92--98 (2024; Zbl 1539.60013) Full Text: DOI
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M. Telegraph process on a hyperbola. (English) Zbl 1517.60116 J. Stat. Phys. 190, No. 7, Paper No. 117, 10 p. (2023). MSC: 60K15 60K99 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, J. Stat. Phys. 190, No. 7, Paper No. 117, 10 p. (2023; Zbl 1517.60116) Full Text: DOI
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M. Stationary density function for a random evolution driven by a Markov-switching Ornstein-Uhlenbeck process with finite velocity. (English) Zbl 1492.60253 Random Oper. Stoch. Equ. 30, No. 2, 113-120 (2022). MSC: 60K15 93E20 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Random Oper. Stoch. Equ. 30, No. 2, 113--120 (2022; Zbl 1492.60253) Full Text: DOI
Pogorui, A.; Rodríguez-Dagnino, R. M. Distribution of random motion at renewal instants in three-dimensional space. (English. Russian original) Zbl 1470.60070 J. Math. Sci., New York 254, No. 3, 416-424 (2021); translation from Ukr. Mat. Visn. 17, No. 4, 563-573 (2020). MSC: 60E15 60G50 60G60 60D05 PDFBibTeX XMLCite \textit{A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, J. Math. Sci., New York 254, No. 3, 416--424 (2021; Zbl 1470.60070); translation from Ukr. Mat. Visn. 17, No. 4, 563--573 (2020) Full Text: DOI
Pogorui, A. O.; Rodríguez-Dagnino, R. M. Differential and integral equations for jump random motions. (English) Zbl 1455.60121 Theory Probab. Math. Stat. 101, 233-242 (2020) and Teor. Jmovirn. Mat. Stat. 101, 203-211 (2019). MSC: 60K15 60J76 PDFBibTeX XMLCite \textit{A. O. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Theory Probab. Math. Stat. 101, 233--242 (2020; Zbl 1455.60121) Full Text: DOI
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M. Goldstein-Kac telegraph equations and random flights in higher dimensions. (English) Zbl 1428.60140 Appl. Math. Comput. 361, 617-629 (2019). MSC: 60K35 35L10 60G60 60K15 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Appl. Math. Comput. 361, 617--629 (2019; Zbl 1428.60140) Full Text: DOI
Pogorui, A.; Kolomiiets, T.; Rodr iguez-Dagnino, R. M. An algebraic approach for solving fourth-order partial differential equation. (English) Zbl 1438.32033 An. Univ. Oradea, Fasc. Mat. 26, No. 1, 153-160 (2019). MSC: 32W50 30C45 35C99 PDFBibTeX XMLCite \textit{A. Pogorui} et al., An. Univ. Oradea, Fasc. Mat. 26, No. 1, 153--160 (2019; Zbl 1438.32033) Full Text: arXiv
Kolomiiets, Tamila; Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M. Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras. (English. Ukrainian original) Zbl 1441.30074 J. Math. Sci., New York 239, No. 1, 43-50 (2019); translation from Ukr. Mat. Visn. 15, No. 2, 210-219 (2018). MSC: 30G35 32W50 35G05 PDFBibTeX XMLCite \textit{T. Kolomiiets} et al., J. Math. Sci., New York 239, No. 1, 43--50 (2019; Zbl 1441.30074); translation from Ukr. Mat. Visn. 15, No. 2, 210--219 (2018) Full Text: DOI Link
Bory Reyes, Juan; Abreu Blaya, Ricardo; Rodríguez Dagnino, Ramón Martin; Kats, Boris Aleksandrovich On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation. (English) Zbl 1418.30045 Anal. Math. Phys. 9, No. 1, 483-496 (2019). MSC: 30G35 PDFBibTeX XMLCite \textit{J. Bory Reyes} et al., Anal. Math. Phys. 9, No. 1, 483--496 (2019; Zbl 1418.30045) Full Text: DOI
Pogorui, A. A.; Rodríguez-Dagnino, R. M. Interaction of particles governed by generalized integrated telegraph processes. (English) Zbl 1404.60153 Random Oper. Stoch. Equ. 26, No. 4, 201-209 (2018). MSC: 60K35 60K15 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Random Oper. Stoch. Equ. 26, No. 4, 201--209 (2018; Zbl 1404.60153) Full Text: DOI
Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M. The distribution of random motion at non-constant velocity in semi-Markov media. (English) Zbl 1362.60090 Random Oper. Stoch. Equ. 25, No. 2, 71-78 (2017). MSC: 60K37 PDFBibTeX XMLCite \textit{A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Random Oper. Stoch. Equ. 25, No. 2, 71--78 (2017; Zbl 1362.60090) Full Text: DOI
Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M. Solutions of some partial differential equations with variable coefficients by properties of monogenic functions. (English. Ukrainian original) Zbl 1362.35097 J. Math. Sci., New York 220, No. 5, 624-632 (2017); translation from Ukr. Mat. Visn. 13, No. 1, 118-128 (2016). MSC: 35G05 58C20 PDFBibTeX XMLCite \textit{A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, J. Math. Sci., New York 220, No. 5, 624--632 (2017; Zbl 1362.35097); translation from Ukr. Mat. Visn. 13, No. 1, 118--128 (2016) Full Text: DOI Link
Abreu Blaya, Ricardo; Bory Reyes, Juan; Rodríguez Dagnino, Ramón M. Boundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain. (English) Zbl 1410.30023 Appl. Math. Comput. 261, 183-191 (2015). MSC: 30G35 35J05 PDFBibTeX XMLCite \textit{R. Abreu Blaya} et al., Appl. Math. Comput. 261, 183--191 (2015; Zbl 1410.30023) Full Text: DOI
Pogorui, A. A.; Rodríguez-Dagnino, R. M.; Kolomiets, T. The first passage time and estimation of the number of level-crossings for a telegraph process. (English) Zbl 1373.60133 Ukr. Math. J. 67, No. 7, 998-1007 (2015) and Ukr. Mat. Zh. 67, No. 7, 882-889 (2015). MSC: 60J27 PDFBibTeX XMLCite \textit{A. A. Pogorui} et al., Ukr. Math. J. 67, No. 7, 998--1007 (2015; Zbl 1373.60133) Full Text: DOI Link
Abreu-Blaya, Ricardo; Ávila-Ávila, Rafael; Bory-Reyes, Juan; Rodríguez-Dagnino, Ramón M. Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries. (English) Zbl 1332.30071 Bull. Braz. Math. Soc. (N.S.) 46, No. 4, 681-700 (2015). MSC: 30G35 PDFBibTeX XMLCite \textit{R. Abreu-Blaya} et al., Bull. Braz. Math. Soc. (N.S.) 46, No. 4, 681--700 (2015; Zbl 1332.30071) Full Text: DOI
Kolomiiets, Tamila; Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M. The distribution of random motion with Erlang-3 sojourn times. (English) Zbl 1328.60228 Random Oper. Stoch. Equ. 23, No. 2, 69-79 (2015). MSC: 60K37 35L25 PDFBibTeX XMLCite \textit{T. Kolomiiets} et al., Random Oper. Stoch. Equ. 23, No. 2, 69--79 (2015; Zbl 1328.60228) Full Text: DOI
Abreu-Blaya, Ricardo; Ávila-Ávila, Rafael; Bory-Reyes, Juan; Rodríguez-Dagnino, Ramón M. 2D quaternionic time-harmonic Maxwell system in elliptic coordinates. (English) Zbl 1319.35253 Adv. Appl. Clifford Algebr. 25, No. 2, 255-270 (2015). MSC: 35Q60 35Q40 78A25 PDFBibTeX XMLCite \textit{R. Abreu-Blaya} et al., Adv. Appl. Clifford Algebr. 25, No. 2, 255--270 (2015; Zbl 1319.35253) Full Text: DOI
Pogorui, Anatoliy; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras. (English) Zbl 1320.35015 Math. Methods Appl. Sci. 37, No. 17, 2799-2810 (2014). MSC: 35A25 32W50 35E20 PDFBibTeX XMLCite \textit{A. Pogorui} et al., Math. Methods Appl. Sci. 37, No. 17, 2799--2810 (2014; Zbl 1320.35015) Full Text: DOI Link
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M. Random motion with gamma steps in higher dimensions. (English) Zbl 1281.60082 Stat. Probab. Lett. 83, No. 7, 1638-1643 (2013). MSC: 60K35 60K99 60K15 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Stat. Probab. Lett. 83, No. 7, 1638--1643 (2013; Zbl 1281.60082) Full Text: DOI
Luna-Elizarrarás, María Elena; La Rosa, Marco Antonio Pérez-De; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael On quaternionic analysis for the Schrödinger operator with a particular potential and its relation with the Mathieu functions. (English) Zbl 1269.30056 Math. Methods Appl. Sci. 36, No. 9, 1080-1094 (2013). MSC: 30G35 35J10 33E10 35J15 35J05 PDFBibTeX XMLCite \textit{M. E. Luna-Elizarrarás} et al., Math. Methods Appl. Sci. 36, No. 9, 1080--1094 (2013; Zbl 1269.30056) Full Text: DOI
Pogorui, A. A.; Rodríguez-Dagnino, R. M. An algebraic method for solving the multiwave Helmholtz equation. (English) Zbl 1251.93047 Complex Var. Elliptic Equ. 57, No. 7-8, 763-769 (2012). MSC: 93B25 35Q70 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Complex Var. Elliptic Equ. 57, No. 7--8, 763--769 (2012; Zbl 1251.93047) Full Text: DOI
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M. Random motion with uniformly distributed directions and random velocity. (English) Zbl 1246.82043 J. Stat. Phys. 147, No. 6, 1216-1225 (2012). MSC: 82B41 60K15 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, J. Stat. Phys. 147, No. 6, 1216--1225 (2012; Zbl 1246.82043) Full Text: DOI Link
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M. Asymptotic expansion for transport processes in semi-Markov media. (English. Russian original) Zbl 1253.60094 Theory Probab. Math. Stat. 83, 127-134 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 106-112 (2010). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60K15 35C20 35R60 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Theory Probab. Math. Stat. 83, 127--134 (2011; Zbl 1253.60094); translation from Teor. Jmovirn. Mat. Stat. 83, 106--112 (2010) Full Text: DOI
Pogorui, A. A.; Rodríguez-Dagnino, R. M. Multidimensional random motion with uniformly distributed changes of direction and Erlang steps. (English. Russian original) Zbl 1238.60095 Ukr. Math. J. 63, No. 4, 665-671 (2011); translation from Ukr. Mat. Zh. 63, No. 4, 572-576 (2011). MSC: 60K15 60-XX PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Ukr. Math. J. 63, No. 4, 665--671 (2011; Zbl 1238.60095); translation from Ukr. Mat. Zh. 63, No. 4, 572--576 (2011) Full Text: DOI
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M. Isotropic random motion at finite speed with \(K\)-Erlang distributed direction alternations. (English) Zbl 1238.60096 J. Stat. Phys. 145, No. 1, 102-112 (2011). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60K15 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, J. Stat. Phys. 145, No. 1, 102--112 (2011; Zbl 1238.60096) Full Text: DOI
Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M. Stationary distribution of random motion with delay in reflecting boundaries. (English) Zbl 1206.60082 Appl. Math., Irvine 1, No. 1, 24-28 (2010). MSC: 60K15 60G10 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Appl. Math., Irvine 1, No. 1, 24--28 (2010; Zbl 1206.60082) Full Text: DOI
Pogoruy, Anatoliy A.; Rodríguez-Dagnino, Ramón M. Some algebraic and analytical properties of coquaternion algebra. (English) Zbl 1186.37053 Adv. Appl. Clifford Algebr. 20, No. 1, 79-84 (2010). MSC: 37F10 32A10 PDFBibTeX XMLCite \textit{A. A. Pogoruy} and \textit{R. M. Rodríguez-Dagnino}, Adv. Appl. Clifford Algebr. 20, No. 1, 79--84 (2010; Zbl 1186.37053) Full Text: DOI Link
Rodríguez-Dagnino, Ramón M.; Takagi, Hideaki Application of renewal theory to call handover counting and dynamic location management in cellular mobile networks. (English) Zbl 1178.90071 Eur. J. Oper. Res. 204, No. 1, 1-13 (2010). MSC: 90B18 90B15 PDFBibTeX XMLCite \textit{R. M. Rodríguez-Dagnino} and \textit{H. Takagi}, Eur. J. Oper. Res. 204, No. 1, 1--13 (2010; Zbl 1178.90071) Full Text: DOI
Pogorui, A.; Rodriguez-Dagnino, R. M. Limiting distribution of fading evolution in some semi-Markov media. (English) Zbl 1224.60231 Ukr. Mat. Zh. 61, No. 12, 1720-1724 (2009) and in Ukr. Math. J. 61, No. 12, 2016-2021 (2009). MSC: 60K20 PDFBibTeX XMLCite \textit{A. Pogorui} and \textit{R. M. Rodriguez-Dagnino}, Ukr. Mat. Zh. 61, No. 12, 1720--1724 (2009; Zbl 1224.60231) Full Text: DOI
Pogorui, A. A.; Kovalenko, D. O.; Rodríguez-Dagnino, Ramón M. T-Convolution and its applications to \(n\)-dimensional distributions. (English) Zbl 1224.60019 Random Oper. Stoch. Equ. 17, No. 4, 343-357 (2009). Reviewer: Rostyslav E. Yamnenko (Kyïv) MSC: 60E05 47N30 65C50 PDFBibTeX XMLCite \textit{A. A. Pogorui} et al., Random Oper. Stoch. Equ. 17, No. 4, 343--357 (2009; Zbl 1224.60019) Full Text: DOI
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M. Evolution process as an alternative to diffusion process and Black-Scholes formula. (English) Zbl 1224.91196 Random Oper. Stoch. Equ. 17, No. 1, 61-68 (2009). Reviewer: Rostyslav E. Yamnenko (Kyïv) MSC: 91G80 60K37 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Random Oper. Stoch. Equ. 17, No. 1, 61--68 (2009; Zbl 1224.91196) Full Text: DOI
Rodríguez-Said, Roberto D.; Pogorui, A. A.; Rodríguez-Dagnino, Ramón M. Stationary effectiveness of an information server with a single buffer and bursty demands of two different customers. (English) Zbl 1162.60024 Stoch. Models 24, Suppl. 1, 246-269 (2008). Reviewer: Moshe Shaked (Tucson) MSC: 60K20 PDFBibTeX XMLCite \textit{R. D. Rodríguez-Said} et al., Stoch. Models 24, 246--269 (2008; Zbl 1162.60024) Full Text: DOI Link
Pogorui, A. A.; Rodríguez-Dagnino, R. M.; Rodríguez-Said, R. D. On the set of zeros of bihyperbolic polynomials. (English) Zbl 1158.30300 Complex Var. Elliptic Equ. 53, No. 7, 685-690 (2008). MSC: 30C15 12D10 PDFBibTeX XMLCite \textit{A. A. Pogorui} et al., Complex Var. Elliptic Equ. 53, No. 7, 685--690 (2008; Zbl 1158.30300) Full Text: DOI
Rodríguez-Said, R. D.; Pogorui, A. A.; Rodríguez-Dagnino, R. M. Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer. (English) Zbl 1199.60322 Random Oper. Stoch. Equ. 15, No. 2, 181-204 (2007). Reviewer: Rostyslav E. Yamnenko (Kyïv) MSC: 60K20 68M10 90B15 90B18 90B30 PDFBibTeX XMLCite \textit{R. D. Rodríguez-Said} et al., Random Oper. Stoch. Equ. 15, No. 2, 181--204 (2007; Zbl 1199.60322) Full Text: DOI Link
Luna-Elizarrarás, María Elena; Rodríguez-Dagnino, Ramón M.; Shapiro, Michael On a version of quaternionic function theory related to Mathieu functions. (English) Zbl 1152.30334 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference of numerical analysis and applied mathematics, Corfu, Greece, 16–20 September 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0447-2/hbk). AIP Conference Proceedings 936, 761-763 (2007). MSC: 30G35 PDFBibTeX XMLCite \textit{M. E. Luna-Elizarrarás} et al., AIP Conf. Proc. 936, 761--763 (2007; Zbl 1152.30334) Full Text: DOI
Takagi, Hideaki; Rodríguez-Dagnino, Ramón M. Counting the number of renewals during a random interval in a discrete-time delayed renewal process. (English) Zbl 1120.60080 Oper. Res. Lett. 35, No. 1, 119-124 (2007). MSC: 60K05 60E10 60E05 PDFBibTeX XMLCite \textit{H. Takagi} and \textit{R. M. Rodríguez-Dagnino}, Oper. Res. Lett. 35, No. 1, 119--124 (2007; Zbl 1120.60080) Full Text: DOI
Sánchez-Cruz, Hermilo; Bribiesca, Ernesto; Rodríguez-Dagnino, Ramón M. Efficiency of chain codes to represent binary objects. (English) Zbl 1111.68142 Pattern Recognition 40, No. 6, 1660-1674 (2007). MSC: 68U10 68P30 PDFBibTeX XMLCite \textit{H. Sánchez-Cruz} et al., Pattern Recognition 40, No. 6, 1660--1674 (2007; Zbl 1111.68142) Full Text: DOI
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M. Limiting distribution of random motion in an \(n\)-dimensional parallelepiped. (English) Zbl 1116.60050 Random Oper. Stoch. Equ. 14, No. 4, 385-392 (2006). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60K15 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Random Oper. Stoch. Equ. 14, No. 4, 385--392 (2006; Zbl 1116.60050) Full Text: DOI
Pogorui, A. A.; Rodríguez-Dagnino, R. M. On the set of zeros of bicomplex polynomials. (English) Zbl 1104.30005 Complex Var. Elliptic Equ. 51, No. 7, 725-730 (2006). MSC: 30C15 12D10 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Complex Var. Elliptic Equ. 51, No. 7, 725--730 (2006; Zbl 1104.30005) Full Text: DOI Link
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M. One-dimensional semi-Markov evolutions with general Erlang sojourn times. (English) Zbl 1116.60051 Random Oper. Stoch. Equ. 13, No. 4, 399-405 (2005). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60K15 PDFBibTeX XMLCite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Random Oper. Stoch. Equ. 13, No. 4, 399--405 (2005; Zbl 1116.60051) Full Text: DOI
Rodríguez-Dagnino, Ramón Martín; Takagi, Hideaki Distribution of the number of handovers in a cellular mobile communication network: delayed renewal process approach. (English) Zbl 1117.90027 J. Oper. Res. Soc. Japan 48, No. 3, 207-225 (2005). MSC: 90B18 PDFBibTeX XMLCite \textit{R. M. Rodríguez-Dagnino} and \textit{H. Takagi}, J. Oper. Res. Soc. Japan 48, No. 3, 207--225 (2005; Zbl 1117.90027) Full Text: DOI
Gutiérrez-Vega, J.; Chávez-Cerda, S.; Rodríguez-Dagnino, Ramón Free oscillations in an elliptic membrane. (English) Zbl 1291.74091 Rev. Mex. Fís. 45, No. 6, 613-622 (1999). MSC: 74H45 74K30 PDFBibTeX XMLCite \textit{J. Gutiérrez-Vega} et al., Rev. Mex. Fís. 45, No. 6, 613--622 (1999; Zbl 1291.74091)