On the zeros of the partial sums to \(_1F_1(1;b;z)\)

DOI10.1006/jmaa.1997.5803zbMath0895.30005OpenAlexW2015862491MaRDI QIDQ1381592

Timothy S. Norfolk

Publication date: 18 March 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5803

zbMATH Keywords

Maclaurin polynomials

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) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (3)

The Saff-Varga width conjecture and entire functions with simple exponential growth ⋮ Limit curves for zeros of sections of exponential integrals ⋮ Pathologies of the large-\(N\) limit for \(\mathbb{RP}^{N-1}\), \(\mathbb{CP}^{N-1}\), \(\mathbb{QP}^{N-1}\) and mixed isovector/isotensor \(\sigma\)-models

Cites Work

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• Asymptotics for the zeros of the partial sums of \(e^ z\). I
• Correction: The zeros of the partial sums of the exponential function
• Geometric overconvergence of rational functions in unbounded domains
• Zeros of sections of power series
• The zeros of the partial sums of the exponential function
• On the distribution of roots of polynomials
• A Characterization of the Exponential Series

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