Abstract
We extend results of Szegő (1924) and Kappert (1996) on the location of the zeros of the normalized partial sums of cos (z) and sin (z), and their rates of convergence to the associated Szegő curves.
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Varga, R.S., Carpenter, A.J. Zeros of the partial sums of cos (z) and sin (z). I. Numerical Algorithms 25, 363–375 (2000). https://doi.org/10.1023/A:1016648721367
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DOI: https://doi.org/10.1023/A:1016648721367