For two distribution functions, F and G, the shift function is defined by $\Delta(t) \equiv G^{-1} \circ F(t) - t$. The shift function is the distance from the 45 ⚬ line and the quantity plotted in ...

Transactions of the American Mathematical Society, Vol. 363, No. 1 (JANUARY 2011), pp. 203-228 (26 pages) Let f : ℂ → ̂ℂ be a transcendental meromorphic function. Suppose that the finite part P (f)∩ℂ ...

Transcendental dynamics explores the iteration of entire functions, whose complex analytic nature leads to richly varied behaviours distinct from those observed in rational maps. In this context, ...

THE first edition of this admirable and well-known treatise was the single-handed work of Prof. Whittaker, and was published in 1902. Into the second edition, which was published thirteen years later ...