Hypergeometric solutions to the q-Painleve equation of type $$ _ + _ ^{\prime })}^ $$

DOI10.1155/IMRN/2006/84619zbMath1160.33313arXivnlin/0607065MaRDI QIDQ3419740

Kenji Kajiwara, Taro Hamamoto, Nicholas S. Witte

Publication date: 7 February 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0607065

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Painlevé-type functions (33E17)

Related Items (12)

Differential transcendence of solutions for 𝑞-difference equation of Ramanujan function ⋮ Hypergeometric \(\tau\) functions of the \(q\)-Painlevé systems of types \(A_4^{(1)}\) and \((A_1+A_1')^{(1)}\) ⋮ On two-parameter solutions of simultaneous ultradiscrete Painlevé II equation with parity variables ⋮ Bessel function type solutions of the ultradiscrete Painlevé III equation with parity variables ⋮ Differential transcendence of solutions of difference Riccati equations and Tietze's treatment ⋮ Hypergeometric solutions for the \(q\)-Painlevé equation of type \({E^{(1)}_6}\) by the Padé method ⋮ Transcendence of solutions of \(q\)-Painlevé equation of type \({A_7^{(1)}}\) ⋮ Hypergeometric \(\tau \)-functions of the \(q\)-Painlevé system of type \(E_{8}^{(1)}\) ⋮ Geometric aspects of Painlevé equations ⋮ The Stokes phenomenon for the \(q\)-difference equation satisfied by the Ramanujan entire function ⋮ The space of initial conditions and the property of an almost good reduction in discrete Painlevé II equations over finite fields ⋮ Global and local scaling limits for the β = 2 Stieltjes–Wigert random matrix ensemble

This page was built for publication: Hypergeometric solutions to the q-Painleve equation of type $$ _ + _ ^{\prime })}^ $$