On parametric Gevrey asymptotics for a q-analog of some linear initial value Cauchy problem

We study an inhomogeneous linear q−difference differential Cauchy problem, with a complex perturbation parameter , whose coefficients depend holomorphically on and on time in the vicinity of the origin in C and are bounded analytic on some horizontal strip in C w.r.t the space variable. This problem is seen as a q−analog of an initial value problem recently… CONTINUE READING