Carillo, Sandra; Chichurin, Alexander; Filipuk, Galina; Zullo, Federico Schwarzian derivative, Painlevé XXV-Ermakov equation, and Bäcklund transformations. (English) Zbl 07794276 Math. Nachr. 297, No. 1, 83-101 (2024). MSC: 34M04 34M03 34M55 PDFBibTeX XMLCite \textit{S. Carillo} et al., Math. Nachr. 297, No. 1, 83--101 (2024; Zbl 07794276) Full Text: DOI arXiv OA License
Filipuk, Galina; Stokes, Alexander On Hamiltonian structures of quasi-Painlevé equations. (English) Zbl 07786701 J. Phys. A, Math. Theor. 56, No. 49, Article ID 495205, 37 p. (2023). Reviewer: Yousuke Ohyama (Tokushima) MSC: 34M55 34M35 37J65 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{A. Stokes}, J. Phys. A, Math. Theor. 56, No. 49, Article ID 495205, 37 p. (2023; Zbl 07786701) Full Text: DOI
Filipuk, Galina; Stokes, Alexander Takasaki’s rational fourth Painlevé-Calogero system and geometric regularisability of algebro-Painlevé equations. (English) Zbl 07749169 Nonlinearity 36, No. 10, 5661-5697 (2023). Reviewer: Simonetta Abenda (Bologna) MSC: 34M55 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{A. Stokes}, Nonlinearity 36, No. 10, 5661--5697 (2023; Zbl 07749169) Full Text: DOI arXiv
Filipuk, Galina; Ligȩza, Adam; Stokes, Alexander Relations between different Hamiltonian forms of the third Painlevé equation. (English) Zbl 1516.34126 Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 37-42 (2023). MSC: 34M55 37J99 PDFBibTeX XMLCite \textit{G. Filipuk} et al., Contemp. Math. 782, 37--42 (2023; Zbl 1516.34126) Full Text: DOI arXiv
Filipuk, Galina (ed.); Lastra, Alberto (ed.); Michalik, Sławomir (ed.) Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. (English) Zbl 1508.30067 Contemporary Mathematics 782. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6604-6/pbk; 978-1-4704-7209-2/ebook). viii, 228 p. (2023). MSC: 30D35 34A26 34C20 34E05 34M40 35A02 35C10 35G10 37J40 PDFBibTeX XMLCite \textit{G. Filipuk} (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 -- July 2, 2021. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1508.30067) Full Text: DOI
Dzhamay, Anton; Filipuk, Galina; Stokes, Alexander Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach. (English) Zbl 07776537 Stud. Appl. Math. 148, No. 4, 1656-1702 (2022). Reviewer: Yousuke Ohyama (Tokushima) MSC: 34M55 33C47 PDFBibTeX XMLCite \textit{A. Dzhamay} et al., Stud. Appl. Math. 148, No. 4, 1656--1702 (2022; Zbl 07776537) Full Text: DOI arXiv
Filipuk, Galina Regularising transformations for the \((n,n+1)\)-Liénard equations. (English) Zbl 1510.34189 Lett. Math. Phys. 112, No. 6, Paper No. 110, 8 p. (2022). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34M35 34B30 34M55 34M04 34M25 PDFBibTeX XMLCite \textit{G. Filipuk}, Lett. Math. Phys. 112, No. 6, Paper No. 110, 8 p. (2022; Zbl 1510.34189) Full Text: DOI
Filipuk, Galina; Kozłowski, Andrzej Analysis with Mathematica. Volume 3. Differential geometry, differential equations, and special functions. (English) Zbl 1487.53002 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-077454-2/pbk; 978-3-11-077464-1/ebook). xv, 275 p. (2022). MSC: 53-01 33-01 34-01 35-01 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{A. Kozłowski}, Analysis with Mathematica. Volume 3. Differential geometry, differential equations, and special functions. Berlin: De Gruyter (2022; Zbl 1487.53002) Full Text: DOI
Carillo, Sandra; Chichurin, Alexander; Filipuk, Galina; Zullo, Federico A short note on the Painlevé XXV-Ermakov equation. (English) Zbl 07523669 Appl. Math. Lett. 131, Article ID 108064, 5 p. (2022). MSC: 34M55 PDFBibTeX XMLCite \textit{S. Carillo} et al., Appl. Math. Lett. 131, Article ID 108064, 5 p. (2022; Zbl 07523669) Full Text: DOI
Kecker, Thomas; Filipuk, Galina Regularising transformations for complex differential equations with movable algebraic singularities. (English) Zbl 1501.34075 Math. Phys. Anal. Geom. 25, No. 1, Paper No. 9, 43 p. (2022). Reviewer: Shun Shimomura (Yokohama) MSC: 34M35 34M55 34M04 PDFBibTeX XMLCite \textit{T. Kecker} and \textit{G. Filipuk}, Math. Phys. Anal. Geom. 25, No. 1, Paper No. 9, 43 p. (2022; Zbl 1501.34075) Full Text: DOI arXiv
Filipuk, Galina (ed.); Lastra, Alberto (ed.); Michalik, Sławomir (ed.) Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 – July 3, 2020. (English) Zbl 1484.34002 Singapore: World Scientific (ISBN 978-1-80061-135-1/hbk; 978-1-80061-137-5/ebook). xv, 383 p. (2022). MSC: 34-06 35-06 37-06 00B25 PDFBibTeX XMLCite \textit{G. Filipuk} (ed.) et al., Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 -- July 3, 2020. Singapore: World Scientific (2022; Zbl 1484.34002) Full Text: DOI
Filipuk, Galina; Kecker, Thomas On singularities of certain non-linear second-order ordinary differential equations. (English) Zbl 1490.34113 Result. Math. 77, No. 1, Paper No. 41, 20 p. (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M55 14E15 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{T. Kecker}, Result. Math. 77, No. 1, Paper No. 41, 20 p. (2022; Zbl 1490.34113) Full Text: DOI
Filipuk, Galina; Kecker, Thomas; Zullo, Federico On a regularisation of a nonlinear differential equation related to the non-homogeneous Airy equation. (English) Zbl 1496.34128 Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 99-106 (2021). Reviewer: Robert Conte (Gif-sur-Yvette) MSC: 34M04 34M35 34M55 33C10 34M25 PDFBibTeX XMLCite \textit{G. Filipuk} et al., in: Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24--27, 2021. Warsaw: De Gruyter/Sciendo. 99--106 (2021; Zbl 1496.34128) Full Text: DOI
Dzhamay, Anton; Filipuk, Galina; Ligȩza, Adam; Stokes, Alexander On Hamiltonians related to the second Painlevé equation. (English) Zbl 1495.34122 Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 73-84 (2021). Reviewer: Yousuke Ohyama (Tokushima) MSC: 34M55 37J65 PDFBibTeX XMLCite \textit{A. Dzhamay} et al., in: Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24--27, 2021. Warsaw: De Gruyter/Sciendo. 73--84 (2021; Zbl 1495.34122) Full Text: DOI
Hu, Jie; Filipuk, Galina; Chen, Yang Differential and difference equations for recurrence coefficients of orthogonal polynomials with hypergeometric weights and Bäcklund transformations of the sixth Painlevé equation. (English) Zbl 1498.33011 Random Matrices Theory Appl. 10, No. 3, Article ID 2150029, 17 p. (2021). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C47 34M55 39A99 42C05 PDFBibTeX XMLCite \textit{J. Hu} et al., Random Matrices Theory Appl. 10, No. 3, Article ID 2150029, 17 p. (2021; Zbl 1498.33011) Full Text: DOI
Dzhamay, Anton; Filipuk, Galina; Stokes, Alexander On differential systems related to generalized Meixner and deformed Laguerre orthogonal polynomials. (English) Zbl 1508.34118 Integral Transforms Spec. Funct. 32, No. 5-8, 483-492 (2021). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 34M55 34C45 PDFBibTeX XMLCite \textit{A. Dzhamay} et al., Integral Transforms Spec. Funct. 32, No. 5--8, 483--492 (2021; Zbl 1508.34118) Full Text: DOI
Chichurin, Alexander; Filipuk, Galina Linear equations with one constraint and their connection to nonlinear equations of the fourth order. (English) Zbl 1474.34001 Miskolc Math. Notes 22, No. 1, 133-141 (2021). MSC: 34A05 34A30 34A34 PDFBibTeX XMLCite \textit{A. Chichurin} and \textit{G. Filipuk}, Miskolc Math. Notes 22, No. 1, 133--141 (2021; Zbl 1474.34001) Full Text: DOI
Dzhamay, Anton; Filipuk, Galina; Ligȩza, Adam; Stokes, Alexander Different Hamiltonians for differential Painlevé equations and their identification using a geometric approach. arXiv:2109.06428 Preprint, arXiv:2109.06428 [nlin.SI] (2021). MSC: 33D45 34M55 34M56 14E07 39A13 BibTeX Cite \textit{A. Dzhamay} et al., ``Different Hamiltonians for differential Painlev\'e equations and their identification using a geometric approach'', Preprint, arXiv:2109.06428 [nlin.SI] (2021) Full Text: arXiv OA License
Dzhamay, Anton; Filipuk, Galina; Stokes, Alexander Recurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations. (English) Zbl 1519.33004 J. Phys. A, Math. Theor. 53, No. 49, Article ID 495201, 29 p. (2020). MSC: 33C45 34M55 37K10 PDFBibTeX XMLCite \textit{A. Dzhamay} et al., J. Phys. A, Math. Theor. 53, No. 49, Article ID 495201, 29 p. (2020; Zbl 1519.33004) Full Text: DOI arXiv
Filipuk, G.; Ishkhanyan, A.; Dereziński, J. On the derivatives of the Heun functions. (English) Zbl 1459.34195 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 3, 200-207 (2020) and Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 3, 21-29 (2020). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 34M56 34M03 34M35 33E10 PDFBibTeX XMLCite \textit{G. Filipuk} et al., J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 3, 200--207 (2020; Zbl 1459.34195) Full Text: DOI arXiv
Filipuk, Galina; Mañas-Mañas, Juan F. A differential equation for varying Krall-type orthogonal polynomials. (English) Zbl 1437.33013 Random Matrices Theory Appl. 9, No. 1, Article ID 2040002, 15 p. (2020). MSC: 33C47 34A05 42C05 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{J. F. Mañas-Mañas}, Random Matrices Theory Appl. 9, No. 1, Article ID 2040002, 15 p. (2020; Zbl 1437.33013) Full Text: DOI
Chen, Yang (ed.); Filipuk, Galina (ed.); das Neves Rebocho, Maria (ed.); Sauzin, David (ed.) Preface: “Complex ODEs: asymptotics, orthogonal polynomials and random matrices”. (English) Zbl 1484.00119 Random Matrices Theory Appl. 9, No. 1, Article ID 2002001, 2 p. (2020). MSC: 00B25 34-06 60-06 PDFBibTeX XMLCite \textit{Y. Chen} (ed.) et al., Random Matrices Theory Appl. 9, No. 1, Article ID 2002001, 2 p. (2020; Zbl 1484.00119) Full Text: DOI
Filipuk, Galina; Chichurin, Alexander The properties of certain linear and nonlinear differential equations. (English) Zbl 1450.34064 Singh, Vinai K. (ed.) et al., Advances in mathematical methods and high performance computing. Cham: Springer. Adv. Mech. Math. 41, 193-200 (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M03 12H05 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{A. Chichurin}, Adv. Mech. Math. 41, 193--200 (2019; Zbl 1450.34064) Full Text: DOI
Chen, Yang; Filipuk, Galina; Zhan, Longjun Orthogonal polynomials, asymptotics, and Heun equations. (English) Zbl 1427.42031 J. Math. Phys. 60, No. 11, 113501, 34 p. (2019). MSC: 42C05 34M55 30E05 47B35 33C05 33C15 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Math. Phys. 60, No. 11, 113501, 34 p. (2019; Zbl 1427.42031) Full Text: DOI arXiv
Ciechanowicz, Ewa; Filipuk, Galina Value distribution and growth of solutions of certain Painlevé equations. (English) Zbl 1458.34146 Awrejcewicz, Jan (ed.), Dynamical systems in theoretical perspective. Łódź, Poland, December 11–14, 2017. Based on the 14th international conference on dynamical systems: theory and applications (DSTA). Cham: Springer. Springer Proc. Math. Stat. 248, 99-111 (2018). Reviewer: V. A. Pron’ko (Grodno) MSC: 34M55 30D35 34M10 PDFBibTeX XMLCite \textit{E. Ciechanowicz} and \textit{G. Filipuk}, Springer Proc. Math. Stat. 248, 99--111 (2018; Zbl 1458.34146) Full Text: DOI
Filipuk, Galina; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials. (English) Zbl 1416.33021 Random Matrices Theory Appl. 7, No. 4, Article ID 1840005, 28 p. (2018). MSC: 33C47 34A05 42C05 PDFBibTeX XMLCite \textit{G. Filipuk} et al., Random Matrices Theory Appl. 7, No. 4, Article ID 1840005, 28 p. (2018; Zbl 1416.33021) Full Text: DOI
Chen, Yang (ed.); Filipuk, Galina (ed.); das Neves Rebocho, Maria (ed.) Preface. Random matrices, Painlevé, equations, integrable systems in orthogonal polynomials and related topics. II. (English) Zbl 1445.00015 Random Matrices Theory Appl. 7, No. 4, Article ID 1802001, 3 p. (2018). MSC: 00B15 00B25 33-06 34-06 PDFBibTeX XMLCite \textit{Y. Chen} (ed.) et al., Random Matrices Theory Appl. 7, No. 4, Article ID 1802001, 3 p. (2018; Zbl 1445.00015) Full Text: DOI
Chen, Hongmei; Filipuk, Galina; Chen, Yang Nonlinear difference equations arising from the generalized Stieltjes-Wigert and \(q\)-Laguerre weights. (English) Zbl 1387.33015 Math. Methods Appl. Sci. 41, No. 6, 2442-2465 (2018). MSC: 33C47 34E05 39A60 PDFBibTeX XMLCite \textit{H. Chen} et al., Math. Methods Appl. Sci. 41, No. 6, 2442--2465 (2018; Zbl 1387.33015) Full Text: DOI
Filipuk, G.; Rebocho, M. N. Differential equations for families of semi-classical orthogonal polynomials within class one. (English) Zbl 1377.65030 Appl. Numer. Math. 124, 76-88 (2018). MSC: 65D20 65Q30 34M55 42C05 33C47 33F05 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{M. N. Rebocho}, Appl. Numer. Math. 124, 76--88 (2018; Zbl 1377.65030) Full Text: DOI Link
Ciechanowicz, Ewa; Filipuk, Galina Transcendental meromorphic solutions of \(P_{34}\) and small targets. (English) Zbl 1406.30011 Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Bȩdlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-52841-0/hbk; 978-3-319-52842-7/ebook). Trends in Mathematics, 307-323 (2017). MSC: 30D35 34M05 34M55 PDFBibTeX XMLCite \textit{E. Ciechanowicz} and \textit{G. Filipuk}, in: Analytic, algebraic and geometric aspects of differential equations. Będlewo, Poland, September 6--19, 2015. Cham: Birkhäuser/Springer. 307--323 (2017; Zbl 1406.30011) Full Text: DOI
Chen, Hongmei; Filipuk, Galina; Chen, Yang Nonlinear difference equations for the generalized little \(q\)-Laguerre polynomials. (English) Zbl 1381.33014 J. Difference Equ. Appl. 23, No. 12, 1943-1973 (2017). MSC: 33C45 33C47 34E05 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Difference Equ. Appl. 23, No. 12, 1943--1973 (2017; Zbl 1381.33014) Full Text: DOI
Bibilo, Yulia; Filipuk, Galina Constructive solutions to the Riemann-Hilbert problem and middle convolution. (English) Zbl 1373.34131 J. Dyn. Control Syst. 23, No. 1, 55-70 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M50 32G13 34M03 34M35 PDFBibTeX XMLCite \textit{Y. Bibilo} and \textit{G. Filipuk}, J. Dyn. Control Syst. 23, No. 1, 55--70 (2017; Zbl 1373.34131) Full Text: DOI
Ciechanowicz, Ewa; Filipuk, Galina Meromorphic solutions of \(P_{4,34}\) and their value distribution. (English) Zbl 1352.30030 Ann. Acad. Sci. Fenn., Math. 41, No. 2, 617-638 (2016). Reviewer: Katsuya Ishizaki (Chiba) MSC: 30D35 34M05 34M55 PDFBibTeX XMLCite \textit{E. Ciechanowicz} and \textit{G. Filipuk}, Ann. Acad. Sci. Fenn., Math. 41, No. 2, 617--638 (2016; Zbl 1352.30030) Full Text: DOI
Kycia, Radosław Antoni; Filipuk, Galina On the generalized Emden-Fowler and isothermal spheres equations. (English) Zbl 1410.34166 Appl. Math. Comput. 265, 1003-1010 (2015). MSC: 34E10 34A34 PDFBibTeX XMLCite \textit{R. A. Kycia} and \textit{G. Filipuk}, Appl. Math. Comput. 265, 1003--1010 (2015; Zbl 1410.34166) Full Text: DOI
Filipuk, Galina A remark about quasi-Painlevé equations of \( P_{II} \) type. (English) Zbl 1340.34348 C. R. Acad. Bulg. Sci. 68, No. 4, 427-430 (2015). Reviewer: Petar Popivanov (Sofia) MSC: 34M55 37J30 PDFBibTeX XMLCite \textit{G. Filipuk}, C. R. Acad. Bulg. Sci. 68, No. 4, 427--430 (2015; Zbl 1340.34348)
Kycia, Radosław Antoni; Filipuk, Galina On the singularities of the Emden-Fowler type equations. (English) Zbl 1327.34020 Mityushev, Vladimir V. (ed.) et al., Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-12576-3/pbk; 978-3-319-12577-0/ebook). Trends in Mathematics. Research Perspectives, 93-99 (2015). MSC: 34A34 34A25 PDFBibTeX XMLCite \textit{R. A. Kycia} and \textit{G. Filipuk}, in: Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5--9, 2013. Cham: Birkhäuser/Springer. 93--99 (2015; Zbl 1327.34020) Full Text: DOI
Bibilo, Yulia; Filipuk, Galina Middle convolution and non-Schlesinger deformations. (English) Zbl 1327.34148 Proc. Japan Acad., Ser. A 91, No. 5, 66-69 (2015). MSC: 34M56 44A15 PDFBibTeX XMLCite \textit{Y. Bibilo} and \textit{G. Filipuk}, Proc. Japan Acad., Ser. A 91, No. 5, 66--69 (2015; Zbl 1327.34148) Full Text: DOI arXiv
Bibilo, Yulia; Filipuk, Galina Non-Schlesinger isomonodromic deformations of Fuchsian systems and middle convolution. (English) Zbl 1318.34121 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 023, 14 p. (2015). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M56 44A15 12H05 PDFBibTeX XMLCite \textit{Y. Bibilo} and \textit{G. Filipuk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 023, 14 p. (2015; Zbl 1318.34121) Full Text: DOI arXiv EMIS
Żołądek, Henryk; Filipuk, Galina Painlevé equations, elliptic integrals and elementary functions. (English) Zbl 1316.34099 J. Differ. Equations 258, No. 4, 1303-1355 (2015). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 37J30 33E17 33E05 34A05 PDFBibTeX XMLCite \textit{H. Żołądek} and \textit{G. Filipuk}, J. Differ. Equations 258, No. 4, 1303--1355 (2015; Zbl 1316.34099) Full Text: DOI
Filipuk, Galina; Smet, Christophe On the recurrence coefficients for generalized \(q\)-Laguerre polynomials. (English) Zbl 1420.39004 J. Nonlinear Math. Phys. 20, Suppl. 1, 48-56 (2013). MSC: 39A13 34M55 33C45 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{C. Smet}, J. Nonlinear Math. Phys. 20, 48--56 (2013; Zbl 1420.39004) Full Text: DOI
Boelen, Lies; Filipuk, Galina; Smet, Christophe; Van Assche, Walter; Zhang, Lun The generalized Krawtchouk polynomials and the fifth Painlevé equation. (English) Zbl 1279.33013 J. Difference Equ. Appl. 19, No. 9, 1437-1451 (2013). MSC: 33C45 33C47 33E17 34M55 PDFBibTeX XMLCite \textit{L. Boelen} et al., J. Difference Equ. Appl. 19, No. 9, 1437--1451 (2013; Zbl 1279.33013) Full Text: DOI arXiv
Filipuk, Galina; Van Assche, Walter Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation. (English) Zbl 1269.34095 Proc. Am. Math. Soc. 141, No. 2, 551-562 (2013). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 33E17 33C47 42C05 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{W. Van Assche}, Proc. Am. Math. Soc. 141, No. 2, 551--562 (2013; Zbl 1269.34095) Full Text: DOI arXiv
Balser, Werner (ed.); Filipuk, Galina (ed.); Łysik, Grzegorz (ed.); Michalik, Sławomir (ed.) Formal and analytic solutions of differential and difference equations. Proceedings of the conference, Bȩdlewo, Poland, August 8–13, 2011. (English) Zbl 1259.34003 Banach Center Publications 97. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-16-4/pbk). 190 p. (2012). MSC: 34-06 34M05 35Q35 39A14 00B25 PDFBibTeX XMLCite \textit{W. Balser} (ed.) et al., Formal and analytic solutions of differential and difference equations. Proceedings of the conference, Bȩdlewo, Poland, August 8--13, 2011. Warszawa: Polish Academy of Sciences, Institute of Mathematics (2012; Zbl 1259.34003)
Filipuk, Galina; Van Assche, Walter; Zhang, Lun The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. (English) Zbl 1253.33012 J. Phys. A, Math. Theor. 45, No. 20, Article ID 205201, 13 p. (2012). Reviewer: Andrei A. Kapaev (Trieste) MSC: 33C47 34M55 PDFBibTeX XMLCite \textit{G. Filipuk} et al., J. Phys. A, Math. Theor. 45, No. 20, Article ID 205201, 13 p. (2012; Zbl 1253.33012) Full Text: DOI arXiv
Filipuk, Galina; Van Assche, Walter Recurrence coefficients of a new generalization of the Meixner polynomials. (English) Zbl 1250.33015 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 068, 11 p. (2011). Reviewer: Dmitri Artamonov (Moscow) MSC: 33C47 33E17 34M55 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{W. Van Assche}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 068, 11 p. (2011; Zbl 1250.33015) Full Text: DOI arXiv
Boelen, Lies; Filipuk, Galina; Van Assche, Walter Recurrence coefficients of generalized Meixner polynomials and Painlevé equations. (English) Zbl 1217.34135 J. Phys. A, Math. Theor. 44, No. 3, Article ID 035202, 19 p. (2011). Reviewer: Galina Filipuk (Warszawa) MSC: 34M55 33C47 PDFBibTeX XMLCite \textit{L. Boelen} et al., J. Phys. A, Math. Theor. 44, No. 3, Article ID 035202, 19 p. (2011; Zbl 1217.34135) Full Text: DOI
Filipuk, Galina Generalized hypergeometric systems and the fifth and sixth Painlevé equations. (English) Zbl 1226.34086 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2010, No. 3(64), 3-10 (2010). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M55 34M03 34M56 PDFBibTeX XMLCite \textit{G. Filipuk}, Bul. Acad. Științe Repub. Mold., Mat. 2010, No. 3(64), 3--10 (2010; Zbl 1226.34086) Full Text: Link
Filipuk, G. V. Middle convolution and the hypergeometric equation. (English) Zbl 1211.34111 J. Phys. A, Math. Theor. 43, No. 17, Article ID 175204, 10 p. (2010). Reviewer: Yoshishige Haraoka (Kumamoto) MSC: 34M15 34M55 34M56 PDFBibTeX XMLCite \textit{G. V. Filipuk}, J. Phys. A, Math. Theor. 43, No. 17, Article ID 175204, 10 p. (2010; Zbl 1211.34111) Full Text: DOI
Filipuk, Galina; Halburd, Rodney G. Movable singularities of equations of Liénard type. (English) Zbl 1194.34165 Comput. Methods Funct. Theory 9, No. 2, 551-563 (2009). Reviewer: Shun Shimomura (Yokohama) MSC: 34M35 34A34 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{R. G. Halburd}, Comput. Methods Funct. Theory 9, No. 2, 551--563 (2009; Zbl 1194.34165) Full Text: DOI Link
Filipuk, G.; Halburd, R. G. Movable algebraic singularities of second-order ordinary differential equations. (English) Zbl 1202.34152 J. Math. Phys. 50, No. 2, 023509, 18 p. (2009). MSC: 34M35 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{R. G. Halburd}, J. Math. Phys. 50, No. 2, 023509, 18 p. (2009; Zbl 1202.34152) Full Text: DOI arXiv
Filipuk, G.; Halburd, R. G. Rational ODEs with movable algebraic singularities. (English) Zbl 1206.34110 Stud. Appl. Math. 123, No. 1, 17-36 (2009). Reviewer: Renat Gontsov (Moscow) MSC: 34M35 34M55 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{R. G. Halburd}, Stud. Appl. Math. 123, No. 1, 17--36 (2009; Zbl 1206.34110) Full Text: DOI
Filipuk, G. V. A hypergeometric system of the Heun equation and middle convolution. (English) Zbl 1189.34164 J. Phys. A, Math. Theor. 42, No. 17, Article ID 175208, 11 p. (2009). Reviewer: Yoshishige Haraoka (Kumamoto) MSC: 34M03 34M56 PDFBibTeX XMLCite \textit{G. V. Filipuk}, J. Phys. A, Math. Theor. 42, No. 17, Article ID 175208, 11 p. (2009; Zbl 1189.34164) Full Text: DOI
Filipuk, Galina V.; Clarkson, Peter A. The symmetric fourth Painlevé hierarchy and associated special polynomials. (English) Zbl 1202.34155 Stud. Appl. Math. 121, No. 2, 157-188 (2008). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M55 37K35 33E17 PDFBibTeX XMLCite \textit{G. V. Filipuk} and \textit{P. A. Clarkson}, Stud. Appl. Math. 121, No. 2, 157--188 (2008; Zbl 1202.34155) Full Text: DOI
Haraoka, Yoshishige; Filipuk, Galina Middle convolution and deformation for Fuchsian systems. (English) Zbl 1140.34035 J. Lond. Math. Soc., II. Ser. 76, No. 2, 438-450 (2007). Reviewer: Masaaki Yoshida (Fukuoka) MSC: 34M55 PDFBibTeX XMLCite \textit{Y. Haraoka} and \textit{G. Filipuk}, J. Lond. Math. Soc., II. Ser. 76, No. 2, 438--450 (2007; Zbl 1140.34035) Full Text: DOI
Filipuk, Galina On the middle convolution and birational symmetries of the sixth Painlevé equation. (English) Zbl 1105.34060 Kumamoto J. Math. 19, 15-23 (2006). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 34M25 PDFBibTeX XMLCite \textit{G. Filipuk}, Kumamoto J. Math. 19, 15--23 (2006; Zbl 1105.34060)
Gromak, Valery I.; Filipuk, Galina On the transformations of the sixth Painlevé equation. (English) Zbl 1362.34128 J. Nonlinear Math. Phys. 10, Suppl. 2, 57-68 (2003). MSC: 34M55 37K35 PDFBibTeX XMLCite \textit{V. I. Gromak} and \textit{G. Filipuk}, J. Nonlinear Math. Phys. 10, 57--68 (2003; Zbl 1362.34128) Full Text: DOI
Gromak, V. I.; Filipuk, G. V. On algebraic solutions of the fifth Painlevé equation. (English. Russian original) Zbl 1068.34084 Differ. Equ. 39, No. 3, 322-330 (2003); translation from Differ. Uravn. 39, No. 3, 299-307 (2003). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 34M25 PDFBibTeX XMLCite \textit{V. I. Gromak} and \textit{G. V. Filipuk}, Differ. Equ. 39, No. 3, 322--330 (2003; Zbl 1068.34084); translation from Differ. Uravn. 39, No. 3, 299--307 (2003) Full Text: DOI
Gromak, Valerii I.; Filipuk, Galina V. Bäcklund transformations of the fifth Painlevé equation and their applications. (English) Zbl 1054.34144 Laine, Ilpo (ed.), Complex differential and functional equations. Proceedings of the summer school, Mekrijärvi, Finland, July 30–August 3, 2000. Joensuu: Univ. of Joensuu, Department of Mathematics (ISBN 952-458-230-9/pbk). Rep. Ser., Dept. Math. Univ. Joensuu 5, 9-20 (2003). Reviewer: John Schmeelk (Doha) MSC: 34M55 34M25 PDFBibTeX XMLCite \textit{V. I. Gromak} and \textit{G. V. Filipuk}, Rep. Ser., Dept. Math. Univ. Joensuu 5, 9--20 (2003; Zbl 1054.34144)
Filipuk, G. V. On the connection between Bäcklund and Schlesinger transformations for the fifth Painlevé equations. (Russian. English summary) Zbl 1074.34549 Dokl. Nats. Akad. Nauk Belarusi 46, No. 3, 13-15 (2002). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 34M55 34M35 PDFBibTeX XMLCite \textit{G. V. Filipuk}, Dokl. Nats. Akad. Nauk Belarusi 46, No. 3, 13--15 (2002; Zbl 1074.34549)
Gromak, V.; Filipuk, G. The Bäcklund transformations of the fifth Painlevé equation and their applications. (English) Zbl 1015.34078 Math. Model. Anal. 6, No. 2, 221-230 (2001). Reviewer: J.Saurer (Regensburg) MSC: 34M25 PDFBibTeX XMLCite \textit{V. Gromak} and \textit{G. Filipuk}, Math. Model. Anal. 6, No. 2, 221--230 (2001; Zbl 1015.34078)
Gromak, V. I.; Filipuk, G. V. Functional relations among solutions to the fifth Painlevé equation. (English. Russian original) Zbl 0997.34086 Differ. Equ. 37, No. 5, 614-620 (2001); translation from Differ. Uravn. 37, No. 5, 586-591 (2001). Reviewer: J.Saurer (Regensburg) MSC: 34M55 PDFBibTeX XMLCite \textit{V. I. Gromak} and \textit{G. V. Filipuk}, Differ. Equ. 37, No. 5, 614--620 (2001; Zbl 0997.34086); translation from Differ. Uravn. 37, No. 5, 586--591 (2001) Full Text: DOI