Asymptotic analysis of a class of functional equations Academic Article uri icon

abstract

  • The aim of this paper is to solve the q-difference equation G (z) P 1 (z) = G (\( \lambda \) z) P 2 (z) + P 0 (z) asymptotically, where the coefficients are entire functions of finite genus. We solve this equation by two methods: by a Mellin transform approach and as an application of C. R. Adams' classical theory of q-difference equations.

publication date

  • January 1, 1998