# Asymptotic analysis of a class of functional equations Academic Article

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### 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