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References (24)
-
D. V. Chudnovsky, G. V. Chudnovsky (1990)
Computers and Mathematics -
D. V. Chudnovsky, G. V. Chudnovsky (1989)
Proc. Symp. Pure Math., v. 49, Part II -
R. Dijkgraaf, E. Witten (1990)
Mean field theory, topological field theory, and multi-matrix modelsNuclear Physics, 342
-
D. V. Chudnovsky (1983)
Lecture Notes in Physics 180 -
P. Boutroux (1913)
Recherchesur les transcendantes de M. Painlevé et l'étude asymptotique des équations différentielles du second orderAnn. École Normalie, 30
-
D. Chudnovsky, G. Chudnovsky (1983)
Rational approximations to solutions of linear differential equations.Proceedings of the National Academy of Sciences of the United States of America, 80 16
-
M. L. Mehta (1967)
Random Matrices -
K. Okamoto (1986)
Isomonodromic deformation and Painlevé equations, and the Gamier systemJ. Fac. Sci. Univ. Tokyo, 33
-
D. V. Chudnovsky (1980)
Bifurcation Phenomena in Mathematical Physics and Related Topics -
H. Flaschka, A. Newell (1980)
Monodromy- and spectrum-preserving deformations ICommunications in Mathematical Physics, 76
-
Rolf Newvanlinna (1932)
Über Riemannsche Flächen mit endlich vielen WindungspunktenActa Mathematica, 58
-
D. Bessis (1979)
A new method in the combinatorics of the topological expansionCommunications in Mathematical Physics, 69
-
D. Chudnovsky (1980)
Riemann Monodromy Problem, Isomonodromy Deformation Equations and Completely Integrable Systems -
G. V. Chudnovsky (1980)
Proc. Les Houches Internat. Colloq. Complex Analysis and Relativistic Quantum Field Theory -
D. Gross, A. Migdal (1990)
Nonperturbative two-dimensional quantum gravity.Physical review letters, 64 2
-
G. V. Chudnovsky (1984)
Symmetries in Particle Physics -
G. Szegó (1939)
Orthogonal Polynomials -
R. Garnier
Sur les singularités irrégulières des équations différentielles linéairesJournal de Mathématiques Pures et Appliquées, 2
-
D. Chudnovsky, G. Chudnovsky (1983)
Laws of composition of Bäcklund transformations and the universal form of completely integrable systems in dimensions two and three.Proceedings of the National Academy of Sciences of the United States of America, 80 6
-
R. Fuchs (1907)
Sur quelques équations différentielles linéaries du second ordreC.R. Acad. Sci. Paris, 141
-
D. Gross, A. Migdal (1990)
A Nonperturbative Treatment of Two-dimensional Quantum GravityNuclear Physics, 340
-
D. Chudnovsky (1983)
Topological and algebraic structure of linear problems associated with completely integrable systems, 180
-
G. Chudnovsky (1980)
Rational and Padé approximations to solutions of linear differential equations and the monodromy theory -
G. Chudnovsky (1984)
Backlund Transformations and Deformations of Linear Differential Equations with Applications to Diophantine Approximations
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/BF01001547
- Publisher site
- See Article on Publisher Site
Abstract
This paper deals with the subject of completely integrable systems, particularly Painlevé equations, monodromy and Stokes parameters, complex analysis, approximation theory, computational mathematics, and number theory. The starting point is the rather narrow question: What is the closed-form expression for the continued fraction expansions of functions having closed (explicit) form definition?
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Jan 3, 2005