## Found 153 Documents (Results 1–100)

100
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### Construction of $$2\times 2$$ Fuchsian system with five singular points. (English)Zbl 07355616

MSC:  65-XX 34-XX
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### Linear Pfaffian systems and classical solutions of triangular Schlesinger equations. (English. Russian original)Zbl 1441.32006

Proc. Steklov Inst. Math. 308, 196-207 (2020); translation from Tr. Mat. Inst. Steklova 308, 210-221 (2020).
MSC:  32G34 34M56 58A17
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### On canonical parametrization of phase spaces of isomonodromic deformation equations. (English)Zbl 1450.34068

Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 3-12 (2019).
MSC:  34M56 34M55
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### Relations between second-order Fuchsian equations and first-order Fuchsian systems. (English. Russian original)Zbl 1454.34120

J. Math. Sci., New York 240, No. 5, 646-650 (2019); translation from Zap. Nauchn. Semin. POMI 468, 221-227 (2018).
MSC:  34M35 34M55
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### Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities. (English)Zbl 1432.34039

MSC:  34C05 33C05
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### Semilocal monodromy of rigid local systems. (English)Zbl 1402.34091

Filipuk, Galina (ed.) et al., Formal and analytic solutions of diff. equations, FASdiff, Alcalá de Henares, Spain, September 4–8, 2017. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-99147-4/hbk; 978-3-319-99148-1/ebook). Springer Proceedings in Mathematics & Statistics 256, 189-199 (2018).
MSC:  34M35 34M03
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### Antiquantization, isomonodromy, and integrability. (English)Zbl 1404.34099

MSC:  34M03 34M55 34M35
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### Fuchsian equations with three non-apparent singularities. (English)Zbl 1397.34153

MSC:  34M03 34M35
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### Holonomic systems. (English)Zbl 1408.34069

Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Będlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer. Trends Math., 59-87 (2017).
MSC:  34M35
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### On global non-oscillation of linear ordinary differential equations with polynomial coefficients. (English)Zbl 1354.34141

MSC:  34M10 34M03
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### The sixth Painlevé transcendent and uniformization of algebraic curves. (English)Zbl 1345.34145

MSC:  34M55 30F10 34M35
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### Polynomial degree reduction of a Fuchsian $$2\times2$$ system. (English. Russian original)Zbl 1317.34179

Theor. Math. Phys. 182, No. 2, 182-188 (2015); translation from Teor. Mat. Fiz. 182, No. 2, 223-230 (2015).
MSC:  34M55
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### Halphen’s transform and middle convolution. (English)Zbl 1326.34134

MSC:  34M35 34M50
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### Relations between linear equations and Painlevé’s equations. (English)Zbl 1304.30057

MSC:  30E99 34M55
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### Differential equations for triangle groups. (English)Zbl 1319.34154

Dzhamay, Anton (ed.) et al., Algebraic and geometric aspects of integrable systems and random matrices. Proceedings of the AMS special session, Boston, MA, USA, January 6–7, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8747-9/pbk; 978-1-4704-0991-3/ebook). Contemporary Mathematics 593, 179-204 (2013).
MSC:  34M55 30F35 11F03
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### Differential equations for the elementary 3-symmetric Chebyshev polynomials. (English. Russian original)Zbl 1280.33007

J. Math. Sci., New York 192, No. 1, 37-49 (2013); translation from Zap. Nauchn. Semin. POMI 3982, 64-86 (2012).
MSC:  33C45 34A05
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### Solution of a linear second-order differential equation with coefficients analytic in the vicinity of a Fuchsian zero point. (English)Zbl 1283.34080

Ukr. Math. J. 64, No. 10, 1572-1585 (2013); translation from Ukr. Mat. Zh. 64, No. 10, 1381-1393 (2012).
MSC:  34M35 34M03
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### Deformation theory of Fuchsian equations and logarithmic connections. (English)Zbl 1299.14033

MSC:  14H60 34M03
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### Fuchsian reduction of differential equations. (English)Zbl 1290.34044

Bruno, Alexander D. (ed.) et al., Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Berlin: de Gruyter (ISBN 978-3-11-027558-2/hbk; 978-3-11-027566-7/ebook). De Gruyter Proceedings in Mathematics, 213-223 (2012).

### On uniformizable representation for abelian integrals. (English)Zbl 1290.34092

Bruno, Alexander D. (ed.) et al., Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Berlin: de Gruyter (ISBN 978-3-11-027558-2/hbk; 978-3-11-027566-7/ebook). De Gruyter Proceedings in Mathematics, 199-207 (2012).
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### Expansions for solutions of the schlesinger equation at a singular point. (English)Zbl 1290.34108

Bruno, Alexander D. (ed.) et al., Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Berlin: de Gruyter (ISBN 978-3-11-027558-2/hbk; 978-3-11-027566-7/ebook). De Gruyter Proceedings in Mathematics, 151-158 (2012).
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### Regular coordinates and reduction of deformation equations for Fuchsian systems. (English)Zbl 1267.34155

Balser, Werner (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 (ISBN 978-83-86806-16-4/pbk). Banach Center Publications 97, 39-58 (2012).
MSC:  34M56 33E17 34M55
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### Solutions for some families of Fuchsian differential equations free from accessory parameters in terms of the integral of Euler type. (English)Zbl 1263.33008

Terao, Hiroaki (ed.) et al., Arrangements of hyperplanes. Proceedings of the 2nd Mathematical Society of Japan-Seasonal Institute, MSJ-SI, Sapporo, Japan, August 1–13, 2009. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-67-9/hbk). Advanced Studies in Pure Mathematics 62, 233-260 (2012).
MSC:  33C70 34M35

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### Solving the sixth Painlevé equation: towards the classification of all the critical behaviors and the connection formulae. (English)Zbl 1246.34084

MSC:  34M55 34M56 34M35
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### A Fuchsian matrix differential equation for Selberg correlation integrals. (English)Zbl 1245.82030

MSC:  82B44 15B52 34M35
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### Factorization of generalized Lamé and Heun’s differential equations. (English)Zbl 1209.34008

MSC:  34A30 47E05
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### Fuchsian differential equations from modular arithmetic. (English)Zbl 1209.05009

Lladser, Manuel E. (ed.) et al., Algorithmic probability and combinatorics. Papers from the AMS special sessions, Chicago, IL, USA, October 5–6, 2007 and Vancouver, BC, Canada, October 4–5, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4783-1/pbk). Contemporary Mathematics 520, 153-171 (2010).
MSC:  05A15 34M55 82B41 82B80

### On closed-form integration of some Fuchsian differential equations related to a conformal mapping of circular pentagons with a cut. (English. Russian original)Zbl 1207.30005

Differ. Equ. 46, No. 4, 463-469 (2010); translation from Differ. Uravn. 46, No. 4, 459-466 (2010).
MSC:  30C20 34M03
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### One class of third-order linear ODEs. (English)Zbl 1290.34098

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 12th international workshop, CASC 2010, Tsakhkadzor, Armenia, September 6–12, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15273-3/pbk). Lecture Notes in Computer Science 6244, 232-237 (2010).
MSC:  34M55
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### Density problem of monodromy representation of Fuchsian systems. (English)Zbl 1182.32006

Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 347-355 (2009).

### Apparent singularities of Fuchsian equations, the Painlevé VI equation, and Garnier systems. (English. Russian original)Zbl 1189.34166

Dokl. Math. 79, No. 2, 176-179 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 425, No. 2, 155-159 (2009).
MSC:  34M35 34M55
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### On canonical parametrization of the phase spaces of equations of isomonodromic deformations of Fuchsian systems of dimension $$2\times 2$$. Derivation of the Painlevé VI equation. (English. Russian original)Zbl 1180.34099

Russ. Math. Surv. 64, No. 1, 45-127 (2009); translation from Usp. Mat. Nauk 64, No. 1, 51-134 (2009).
MSC:  34M55 33E17 34A26 34M35 37J05 34M03
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### Dessins d’enfants and differential equations. (English. Russian original)Zbl 1206.14058

St. Petersbg. Math. J. 19, No. 6, 1003-1014 (2008); translation from Algebra Anal. 19, No. 6, 184-199 (2007).
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### Real Fuchsian equations and constant mean curvature surfaces. (English)Zbl 1194.53007

MSC:  53A10 34M05 58E20

### On solutions of the Schlesinger equation in the neigborhood of the Malgrange $$\Theta$$-divisor. (English. Russian original)Zbl 1169.34340

Math. Notes 83, No. 5, 707-711 (2008); translation from Mat. Zametki 83, No. 5, 779-782 (2008).
MSC:  34M35 34M55
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MSC:  34M35
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### Heun functions versus elliptic functions. (English)Zbl 1125.33017

Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 664-686 (2007).
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### Additional parameters in inverse monodromy problems. (English. Russian original)Zbl 1159.34059

Sb. Math. 197, No. 12, 1753-1773 (2006); translation from Mat. Sb. 197, No. 12, 43-64 (2006).
MSC:  34M50 32S40 34C20
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### Finite-gap solutions of the Fuchsian equations. (English)Zbl 1136.34065

MSC:  34L40 14H70
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### Differential Galois groups of high order Fuchsian ODE’s. (English)Zbl 1183.34136

Ge, Mo-Lin (ed.) et al., Differential geometry and physics. Proceedings of the 23rd international conference of differential geometric methods in theoretical physics, Tianjin, China, August 20–26, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-377-4/hbk). Nankai Tracts in Mathematics 10, 490-502 (2006).
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### Monodromy arising from the Markoff theory. (English)Zbl 1093.81014

MSC:  81P68 34M35 30E25
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### Construction of rigid local systems and integral representations of their sections. (English)Zbl 1095.15018

MSC:  34M35 14F05 34M15
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### Fuchsian differential equation for the perimeter generating function of three-choice polygons. (English)Zbl 1088.05009

MSC:  05A15 33D15 34M99
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### On the monodromy group of confluent linear equations. (English)Zbl 1099.34077

MSC:  34M35 34M40
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MSC:  32G34
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### Special monodromy groups and the Riemann-Hilbert problem for the Riemann equation. (English)Zbl 1107.14009

Math. Notes 77, No. 5, 695-707 (2005); translation from Mat. Zametki 77, No. 5, 753-767 (2005).
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### A simple fractional-calculus approach to the solutions of the Bessel differential equation of general order and some of its applications. (English)Zbl 1088.34004

MSC:  34A25 34A30 26A33
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### Analytic continuation of Cauchy-type integrals. (English)Zbl 1072.30029

MSC:  30E20 30B40 34Mxx

### Some fractional differintegral operators and their applications to differential equations. (English)Zbl 1082.34004

Cho, Yeol Je (ed.) et al., Contemporary differential equations and applications. Papers from the 7th international conference on nonlinear functional analysis and applications held at Gyeongsang National University, Chinju, Korea and Kyungnam University, Masan, Korea, August 6–10, 2001. Hauppauge, NY: Nova Science Publishers (ISBN 1-59454-161-2/hbk). 67-79 (2004).

### Splitting types of vector bundles constructed from monodromy of a given Fuchsian system. (Russian, English)Zbl 1077.14511

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 4, 676-685 (2004); translation in Comput. Math. Math. Phys. 44, No. 4, 640-648 (2004).

### Discrete symmetries of systems of isomonodromic deformations of second-order Fuchsian differential equations. (English. Russian original)Zbl 1084.32010

Funct. Anal. Appl. 38, No. 2, 111-124 (2004); translation from Funkts. Anal. Prilozh. 38, No. 2, 38-54 (2004).
MSC:  32G34 34M55
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### Triangle Fuchsian differential equations with apparent singularities. (English)Zbl 1085.34070

MSC:  34M55 34M15 34M35

### On Schrödinger equations of Okubo type. (English)Zbl 1062.34103

MSC:  34M99 34A26 34C14
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### Non-integrability of restricted two body problems in constant curvature spaces. (English)Zbl 1048.37052

MSC:  37J30 70H07 34M35
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MSC:  34M99
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### Regular functions satisfying irregular ordinary differential equations. (English)Zbl 1037.34081

MSC:  34M05 34L99 34A25
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### Algebraic solutions of the Lamé equation. (English)Zbl 1081.34531

Crespo, Teresa (ed.) et al., Differential Galois theory. Proceedings of the workshop, Bȩdlewo, Poland, May 28–June 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 58, 37-43 (2002).
MSC:  34M35 34A30 34M50
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### On the Deligne-Simpson problem. (English)Zbl 1036.34106

Proc. Steklov Inst. Math. 238, No. 3, 148-185 (2002) from Tr. Mat. Inst. Steklova 238, 158-195 (2002).

### Removing false singular points as a method of solving ordinary differential equations. (English)Zbl 1022.34078

MSC:  34M25 34M35
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### Painlevé sixth equation as isomonodromic deformations equation of an irregular system. (English)Zbl 1022.34080

Kuznetsov, V. B. (ed.), The Kowalevski property. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 32, 219-238 (2002).
MSC:  34M55 34M50

### Doubling operations and monodromy of generalized Knizhnik-Zamolodchikov equations. (English. Russian original)Zbl 1020.32008

Proc. Steklov Inst. Math. 236, 206-213 (2002); translation from Tr. Mat. Inst. Steklova 236, 218-225 (2002).
MSC:  32G34 35A99

### Transformations $$RS_4^2(3)$$ of the ranks $$\leq 4$$ and algebraic solutions of the sixth Painlevé equation. (English)Zbl 1019.34086

MSC:  34M55 33E17 34M25
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### Explicit solutions of some classes of non-Fuchsian differential equations by means of fractional calculus. (English)Zbl 1007.34004

MSC:  34A25 26A33 34A05

### Second-order fourth-degree Painlevé-type equations. (English)Zbl 0973.34077

MSC:  34M55 34M25
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### Picard-Fuchs equations, Hauptmoduls and integrable systems. (English)Zbl 0973.34075

Braden, H. W. (ed.) et al., Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 137-151 (2000).
Reviewer: V.P.Kostov (Nice)
MSC:  34M35 34M55 81T80 45E10 33E17 30F35
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### Almost automorphic solutions to some differential equations in Banach spaces. (English)Zbl 0963.34049

MSC:  34G10 34A25 30F35
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### On orders of movable poles of the Schlesinger equation. (English)Zbl 0961.34077

MSC:  34M55 14B07 35Q58 34M35
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### On two types of representations of the braid group associated with the Knizhnik-Zamolodchikov equation of the $$B_ n$$ type. (English)Zbl 1064.32011

MSC:  32G34 20F36
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