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Asymptotics of generalized value distribution for Herglotz functions

Asymptotics of generalized value distribution for Herglotz functions

Estimates of limiting value distributions for boundary values of Herglotz functions are extended to allow the possibility of value distributions with respect to measures other than Lebesgue measure.We establish a relation between the generalized theory of value distribution and the angle subtended at a point in the upper half-plane, and …