Value distribution of meromorphic functions and their derivativesTools Nicks, Daniel A. (2010) Value distribution of meromorphic functions and their derivatives. PhD thesis, University of Nottingham.
AbstractThe content of this thesis can be divided into two broad topics. The first half investigates the deficient values and deficient functions of certain classes of meromorphic functions. Here a value is called deficient if a function takes that value less often than it takes most other values. It is shown that the derivative of a periodic meromorphic function has no finite nonzero deficient values, provided that the function satisfies a necessary growth condition.
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