5 citations · 17 across the 13 of their papers we have counts for
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Holomorphic mappings of finitely connected planar domains
Jaikrishnan Janardhanan
Results on holomorphic mappings of finitely connected planar domains are often proved using Koebe's famous circle mapping theorem. A prominent example is Julia's bound on the size…
Uniformization of domains in the Riemann sphere via the Kobayashi metric
Jaikrishnan Janardhanan
We prove the uniformization theorem for domains in the Riemann sphere via the Kobayashi metric. Our proof does not rely on the existence of the elliptic modular function and instea…
Revisiting Kobayashi hyperbolicity on planar domains
Bharathi Thiruvengadam, Jaikrishnan Janardhanan
We give two new elementary proofs of the complete Kobayashi hyperbolicity of the twice-punctured complex plane. We also present an extremely short proof that bounded domains are co…
Finiteness of the fixed point sets of automorphisms
Bharathi Thiruvengadam, Jaikrishnan Janardhanan
We investigate the size of fixed point sets of automorphisms of bounded domains in . In one complex variable, a nontrivial automorphism has at most two fixed points,…