Abstract
We continue the work of Szegő [18] on describing the angular distribution of the zeros of the normalized partial sum s n(nz) of e z, where \(s _{n}(z):={\sum _{k=0} ^{n}}z ^k/k!\). We imbed this problem in some inverse problem of potential theory and prove a so-called Erdős-Turán-type theorem, which is of interest in itself.
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Andrievskii, V.V., Carpenter, A.J. & Varga, R.S. Angular Distribution of Zeros of the Partial Sums of ez via the Solution of Inverse Logarithmic Potential Problem. Comput. Methods Funct. Theory 6, 447–458 (2006). https://doi.org/10.1007/BF03321622
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DOI: https://doi.org/10.1007/BF03321622