作者:Nattiwut; MAUGMAI; Teerapat; SRICHANergodictheorembooleantransformationmeromorphicfunctions
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.
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