On the matrix \(q\)-Kummer equation and its solutions (Q6187442)

The author discusses a general theory for second-order matrix difference equations of bilateral type, introducing the \(q\)-Kummer equation and its matrix function, along with integral solutions and solutions at infinity. The paper is structured into sections covering basic definitions, a general second-order bilateral type matrix \(q\)-difference equation, the definition of the \(q\)-Kummer matrix function, its regions of convergence, and various forms of solutions.