Asymptotics for the zeros of the partial sums of \(e^ z\). I

DOI10.1216/rmjm/1181072998zbMath0734.30008OpenAlexW4231724507MaRDI QIDQ810666

Jörg Waldvogel, Richard S. Varga, Amos J. Carpenter

Publication date: 1991

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072998

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) 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 (14)

Some irreducibility and indecomposability results for truncated binomial polynomials of small degree ⋮ Electromagnetic field generated by a modulated moving point source in a planarly layered waveguide ⋮ ASYMPTOTIC BEHAVIOR AND ZEROS OF HYPERGEOMETRIC BERNOULLI POLYNOMIALS OF ORDER 2 ⋮ On the zeros of the partial sums to \(_1F_1(1;b;z)\) ⋮ Angular distribution of zeros of the partial sums of \(e^z\) via the solution of inverse logarithmic potential problem ⋮ Behavior of the roots of the Taylor polynomials of Riemann's \(\xi\) function with growing degree ⋮ Limit curves for zeros of sections of exponential integrals ⋮ The Szego curve, zero distribution and weighted approximation ⋮ Asymptotic zero distribution of sections and tails of Mittag-Leffler functions ⋮ Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). III ⋮ An application from partial sums of \(e^ z\) to a problem in several complex variables ⋮ Asymptotics for the zeros of the generalized Bessel polynomials ⋮ Some new properties of generalized Bessel polynomials ⋮ The Ginibre ensemble of real random matrices and its scaling limits

Cites Work

• Unnamed Item
• Unnamed Item
• On the Eneström-Kakeya theorem and its sharpness
• On the zeros and poles of Padè approximants to \(e^z\). III
• On the zeros and poles of Padé approximants to \(e^z\)
• The zeros of the partial sums of the exponential function
• Zero-Free Parabolic Regions for Sequences of Polynomials
• Complex Zeros of the Error Function and of the Complementary Error Function
• A Characterization of the Exponential Series

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