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Zeros of the partial sums of $\cos(z)$ and $\sin(z)$ II

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Summary.

We study here in detail the location of the real and complex zeros of the partial sums of \(\cos (z)\) and \(\sin (z)\), which extends results of Szegö (1924) and Kappert (1996).

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Authors and Affiliations

  1. Institute for Computational Mathematics, Kent State University, Kent, OH 44242, USA; e-mail: varga@mcs.kent.edu, , , , , , US

    Richard S. Varga

  2. Department of Mathematics and Actuarial Science, Butler University, Indianapolis, IN 46208, USA; e-mail: acarpent@butler.edu, , , , , , US

    Amos J. Carpenter

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  1. Richard S. Varga
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  2. Amos J. Carpenter
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Received November 9, 2000 / Published online August 17, 2001

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Varga, R., Carpenter, A. Zeros of the partial sums of $\cos(z)$ and $\sin(z)$ II. Numer. Math. 90, 371–400 (2001). https://doi.org/10.1007/s002110100320

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  • DOI: https://doi.org/10.1007/s002110100320

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