Analogues of Picard sets for meromorphic functions with a deficient value
Kendall, Guy (2004) Analogues of Picard sets for meromorphic functions with a deficient value. PhD thesis, University of Nottingham.
Picard's theorem states that a non-constant function which is meromorphic in the complex plane C omits at most two values of the extended complex plane C*. A Picard set for a family of functions F is a subset E of the plane such that every transcendental f in F takes every value of C*, with at most two exceptions, infinitely often in C-E.
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