Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok, 10900 Thailand
Abstract:
A formula for the mean-value distribution of certain meromorphic functions on a vertical line s=σ+iR under a generalized Boolean transformation, called rational Boolean transformation from R into itself, is derived using Birkhoff's ergodic theorem. This formula is represented as a computable integral. Using the Cauchy's integral theorem, values of this integral corresponding to various possible cases are explicitly computed.