A Jentzsch-theorem for Kapteyn, Neumann and general Dirichlet series

DOI10.1007/s40315-022-00468-yzbMath1526.30004arXiv2107.07207WikidataQ114219226 ScholiaQ114219226MaRDI QIDQ6085896

Folkmar A. Bornemann

Publication date: 8 November 2023

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07207

zbMATH Keywords

Neumann seriesgeneral Dirichlet seriesKapteyn seriesJentzsch's theoremholonomic entire functions

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) Entire functions of one complex variable (general theory) (30D20) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

• The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
• A Jentzsch-type-theorem
• Sequences of analytic functions and their zeros
• Visual Complex Functions
• Accelerated polynomial approximation of finite order entire functions by growth reduction
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