Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). I

DOI10.1023/A:1016648721367zbMath0970.30006OpenAlexW1488702646MaRDI QIDQ5934412

Amos J. Carpenter, Richard S. Varga

Publication date: 19 June 2001

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016648721367

zbMATH Keywords

Eneström-Kakeya theoremHurwitz theoremSzegő curve

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items

Behavior of the roots of the Taylor polynomials of Riemann's \(\xi\) function with growing degree, The Saff-Varga width conjecture and entire functions with simple exponential growth, Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). III, Asymptotic behavior of Bernoulli-Dunkl and Euler-Dunkl polynomials and their zeros, A method for summing Bessel series and a couple of illustrative examples