Existence of rational solutions for q-difference Painleve equations
Xu, Hong Yan
Texas State University, Department of Mathematics
This article studies properties of meromorphic solutions for several types of q-difference Painleve equations. We obtain conditions for the existence, and the form of rational solutions for two classes of q-difference Painleve equations. Also for a solution f we obtain results about the fixed points, the exponents of convergence of poles of ƒ, Δqƒ, (Δqƒ)/ƒ. Our results extend previous theorems given in the references.
Rational solution, q-difference Painleve equation, Fixed point
Xu, H. Y., & Tu, J. (2020). Existence of rational solutions for q-difference Painleve equations. <i>Electronic Journal of Differential Equations, 2020</i>(14), pp. 1-14.