7 citations · 26 across the 47 of their papers we have counts for
6 papers · 1 filter
Remarks on results by Müger and Tuset on the moments of polynomials
Greg Markowsky, Dylan Phung
Let be a non-zero polynomial with complex coefficients, and for a positive integer. In a recent paper, Müger and Tuset showed that $\limsup_…
A variant of Cauchy's argument principle for analytic functions which applies to curves containing zeroes
Maher Boudabra, Greg Markowsky
It is known that the Cauchy's argument principle, applied to an holomorphic function , requires that has no zeros on the curve of integration. In this short note, we give a…
A note on the moments of sequences of complex numbers
Greg Markowsky, Maher Boudabra
We give a short proof that the limsup of the p-th root of the modulus of the p-th moment of a sequence of complex numbers is equal to the modulus of the maximum of the sequence.Thi…
A probabilistic proof of the Open Mapping Theorem for analytic functions
Greg Markowsky
The conformal invariance of Brownian motion is used to give a short proof of the Open Mapping Theorem for analytic functions.
The rate of convergence of the hyperbolic density on sequences of domains
Nikola Lakic, Greg Markowsky
It is known that if a sequence of domains converges to a domain in the Caratheodory sense then the hyperbolic densities on converge to the hyperbolic density on …
A method for deriving hypergeometric and related identities from the Hardy norm of conformal maps
Greg Markowsky
We explore a method which is implicit in a paper of Burkholder of identifying the Hardy norm of a conformal map with the explicit solution of Dirichlet's problem in the compl…