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math.DS2012
A note on Schwarzian derivatives and normal families
Dinesh Kumar, Sanjay Kumar
We establish a criterion for local boundedness and hence normality of a family $\F$ of analytic functions on a domain in the complex plane whose corresponding family of derivat…
math.DS2012
Escaping Set of e^z-1
Dinesh Kumar, Sanjay Kumar, A. P. Singh
We investigate the set I(f) of points that converge to infinity under iteration of the map f(z) = e^z-1 and show that it is the disjoint union of countably many rays and uncountabl…