On Deviations of Meromorphic Minimal Surfaces of Finite Lower Order

This paper is devoted to the development of Beckenbach’s theory of meromorphic minimal surfaces. We get an estimate of the sum of Petrenko’s deviations of the meromorphic minimal surface of finite lower order in term of Valiron’s defect \(\Delta ({\textbf {0}}, S_u)\) $\mathrm{\Delta }(\mathbf{0},S_u)$ . We also give an example showing that the estimate is sharp.