A q-Analog of the Sixth Painlevé Equation

Letters in Mathematical Physics

Volumn 38, Issue 2, 1996, Pages 145-154

  Jimbo, Michio ^a   Sakai, Hidetaka ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Connection preserving deformation; Painlev equations; q difference equations

Indexed keywords

EID: 0000724480     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00398316     Document Type: Article

References (9)

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3. Birkhoff, G. D.: The generalized Riemann problem for linear differential equations and the allied problems for linear difference and q-difference equations, Proc. Amer. Acad. Arts Sci. 49 (1914), 521-568.
4. Jimbo, M. and Miwa, T.: Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II, Physica 2D (1981), 407-448.
5. Grammaticos, B., Nijhoff, F. W., Papageorgiou, V. G., Ramani, A. and Satsuma, J.: Linearization and solutions of the discrete Painlevé III equation, Phys. Lett. A 185 (1994), 446-452.
6. Papageorgiou, V. G., Nijhoff, F. W., Grammaticos, B. and Ramani, A.: Isomonodromic deformation problems for discrete analogues of Painlevé equations, Phys. Lett. A 164 (1992), 57-64.
7. Kajiwara, K., Ohta, Y. and Satsuma, J.: Casorati determinant solutions for the discrete Painlevé III equation, Preprint, 1994.
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