Solutions to a q-Analog of the Painlevé III Equation of Type D7(1)

Author:

Nakazono Nobutaka1,Nishioka Seiji2

Affiliation:

1. The University of Sydney

2. Yamagata University

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference17 articles.

1. [1] Cohn, R. M., Difference Algebra, Interscience Publishers John Wiley & Sons, New York-London-Sydney, 1965.

2. [2] Gasper, G. and Rahman, M., Basic Hypergeometric Series, Second edition, Encyclopedia of Mathematics and Its Applications, 96, Cambridge University Press, Cambridge, 2004.

3. [3] Grammaticos, B. and Ramani, A., Discrete Painlevé equations: a review, Lecture Note in Phys., 644, Springer, Berlin, 2004, pp. 245-321.

4. [4] Kajiwara, K., Nakazono, N. and Tsuda, T., Projective reduction of the discrete Painlevé system of type (A2 + A1)(1), Int. Math. Res. Not. IMRN, 2011 (2011), 930-966.

5. [5] Koekoek, R., Lesky, P. A. and Swarttouw, R. F., Hypergeometric orthogonal polynomials and their q-analogues, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2010.

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