EXISTENCE OF RATIONAL SOLUTIONS FOR q-DIFFERENCE PAINLEVE EQUATIONS

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 f, Delta(q)f, (Delta(q)f)/f. Our results extend previous theorems given in the references.