The Mean-value of Meromorphic Functions with Respect to a Generalized Boolean Transformation  

作　　者：Nattiwut MAUGMAI Teerapat SRICHAN 

机构地区：[1]Department of Mathematics, Faculty of Science, Kasetsart University

出　　处：《Acta Mathematica Sinica,English Series》2019年第5期662-670,共9页数学学报（英文版）

基　　金：supported by Thailand research fund(Grant No.MRG6080210)

摘　　要：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.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.

关 键 词：Birkhoff's ergodic theorem BOOLEAN TRANSFORMATION mean-value MEROMORPHIC functions 

分 类 号：O1[理学—数学]