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ASYMPTOTICS OF GENERALIZED VALUE DISTRIBUTION FOR HERGLOTZ FUNCTIONS

    https://doi.org/10.1142/9789814277723_0005Cited by:0 (Source: Crossref)
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    Abstract:

    We consider a family of Herglotz functions Fy (y ϵ ℝ) generated from a Herglotz function F, and obtain their integral representations. We review the theory of value distribution for boundary values of Herglotz functions, and present a result for limiting generalized value distribution for translated Herglotz functions.