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

DOI10.1016/j.apnum.2009.08.007zbMath1195.30010OpenAlexW1503099817MaRDI QIDQ972295

Amos J. Carpenter, Richard S. Varga

Publication date: 25 May 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.08.007

zbMATH Keywords

distribution of zerosSzegö theorempartial sums of \(e^z\), \(\cos z\), and \(\sin z\)

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) Asymptotic representations in the complex plane (30E15)

Related Items (3)

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 ⋮ Limit curves for zeros of sections of exponential integrals

Cites Work

• Asymptotics for the zeros of the partial sums of \(e^ z\). I
• The dynamical motion of the zeros of the partial sums of \(e^{z}\), and its relationship to discrepancy theory
• On the zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\)
• A Characterization of the Exponential Series
• A Generalization of a Theorem of Bôcher
• Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). I
• Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). II

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