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math.CV2021
Averaged mixed Julia-Fatou type theory with applications to spectral foliation
J. E. Pascoe, Ryan Tully-Doyle
Classically, theorems of Fatou and Julia describe the boundary regularity of functions in one complex variable. The former says that a complex analytic function on the disk has non…
math.CV2021
Zero-free regions near a line
Kelly Bickel, J. E. Pascoe, Meredith Sargent
We analyze metrics for how close an entire function of genus one is to being real rooted. These metrics arise from truncated Hankel matrix positivity-type conditions built from pow…