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Differential inequalities and local valency

Differential inequalities and local valency

An entire function/(z) is said to have bounded value distribution (b.v.d.) if there exist constants/?, R such that the equation f(z) = H'never has more than/?roots in any disk ofradius/?.It was shown by W. K. Hayman that this is the case for a particular/?and some R>0 if and only if …