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math.CV2020
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…
math.CV2020
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…