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Journal of Nonlinear Mathematical Physics Volume 9, 2002 - Issue sup2: Special Issue in Honour of PGL Leach on the Occasion of His 60th Birthday
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Original Articles

Singularity Analysis and a Function Unifying the Painlevé and the Psi Series

C Géronimi MAPMO/UMR 6628, Université d’Orléans, Département de Mathématiques, BP 6759, 45067, Orléans cedex 2, FranceCorrespondence[email protected]
,
P G L Leach Permanent address: School of Mathematical and Statistical Sciences, University of Natal, Durban, 4041, Republic of South Africa E-mail: [email protected]
&
M R Feix Permanent address: École des Mines, 4 rue Alfred Kastler, 44307 Nantes cedex 3, France
Pages 36-48 | Received 01 May 2002, Published online: 21 Jan 2013

Citations (12)

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Read on this site (5)

K. Charalambous, P.G.L. Leach & R. Sinuvasan. (2019) Some properties of the Nesterenko differential sequence. Quaestiones Mathematicae 42:4, pages 517-532.
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MC Nucci & PGL Leach. (2008) Singularity Analysis and Integrability of a Simplified Multistrain Model for the Transmission of Tuberculosis and Dengue Fever. Journal of Nonlinear Mathematical Physics 15:1, pages 22-34.
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K S Govinder & P G L Leach. (2007) Integrability analysis of the Emden-Fowler equation. Journal of Nonlinear Mathematical Physics 14:3, pages 443-461.
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Marianna Euler, Norbert Euler & Peter Leach. (2007) The Riccati and Ermakov-Pinney hierarchies. Journal of Nonlinear Mathematical Physics 14:2, pages 290-310.
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P. G.L. Leach & V. Naicker. (2003) Symmetry, Singularity and Integrability: The final question?. Transactions of the Royal Society of South Africa 58:1, pages 1-10.
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Articles from other publishers (7)

Jaume Llibre. (2022) Dynamics of the Painlevé-Ince Equation. Results in Mathematics 78:1.
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K. Charalambous, C. Sophocleous & P.G.L. Leach. (2013) Symmetry and singularity analyses of some equations of the fifth and sixth order in the spatial variable arising from the modelling of thin films. Communications in Nonlinear Science and Numerical Simulation 18:8, pages 1949-1958.
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K Andriopoulos & P G L Leach. (2008) The Mixmaster Universe: the final reckoning?. Journal of Physics A: Mathematical and Theoretical 41:15, pages 155201.
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K. Andriopoulos & P.G.L. Leach. (2007) Symmetry and singularity properties of second-order ordinary differential equations of Lie's type III. Journal of Mathematical Analysis and Applications 328:2, pages 860-875.
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K. Andriopoulos & P.G.L. Leach. (2007) Autonomous self-similar ordinary differential equations and the Painlevé connection. Journal of Mathematical Analysis and Applications 328:1, pages 625-639.
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K. Andriopoulos & P.G.L. Leach. (2006) An interpretation of the presence of both positive and negative nongeneric resonances in the singularity analysis. Physics Letters A 359:3, pages 199-203.
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M.C. Nucci & P.G.L. Leach. (2004) An integrable SIS model. Journal of Mathematical Analysis and Applications 290:2, pages 506-518.
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