Lax formalism for q-Painleve equations with affine Weyl group symmetry of type E^{(1)}_n

摘要

An explicit form of the Lax pair for the q-difference Painleve equation withaffine Weyl group symmetry of type E^{(1)}_8 is obtained. Its degeneration toE^{(1)}_7, E^{(1)}_6 and D^{(1)}_5 cases are also given.