3-8-1 Komaba, Meguro-ku, 153-8914 Tokyo, Japan
Graduate School of Mathematical Sciences, The University of Tokyo
Nagoya H., Grammaticos B., Ramani A.
Quantum Painlevé Equations: from Continuous to Discrete and Back
2008, vol. 13, no. 5, pp. 417-423
We present a cascade of quantum Painlevé equations consisting in successive contiguity relations, whereupon starting form a continuous equations we obtain a discrete one, and continuous limits of the latter. We start from the quantum Painlevé V and in the process derive the quantum form of continuous PIII which was missing in previous studies.