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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.DS2011
Fatou's No Wandering Domain Conjecture: Sullivan's Proof
Dinesh Kumar
This dissertation entitled "Fatou's No Wandering Domain Conjecture : Sullivan's Proof" contains a comprehensive study of the Dynamical Partition of the Riemann Sphere and a complem…