An Elementary Proof of Takagi’s Theorem on the Differential Composition of Polynomials

DOI10.1080/00029890.2022.2027719zbMath1492.30023arXiv2112.04208OpenAlexW4226161986WikidataQ113853661 ScholiaQ113853661MaRDI QIDQ5071773

Alan D. Sokal

Publication date: 22 April 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.04208

zbMATH Keywords

zeroscomposite 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) Polynomials and rational functions of one complex variable (30C10)

Cites Work

• Teiji Takagi, founder of the Japanese school of modern mathematics
• The zeros of infrapolynomials with some prescribed coefficients
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