Very Small Ultrametric Functions and Growth Order

Abstract Small functions were defined in complex analysis and next in ultrametric analysis. The order of growth was also defined in complex analysis and has a similar definition in ultrametric analysis. It has already been examined in a previous article. Here we study additional properties designed to compute the growth order using the distribution of the zeros and the application to very small functions. We can then apply a theorem on entire functions sharing 3 small functions.