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arXiv:2112.04208 [math.CA]AbstractReferencesReviewsResources

An elementary proof of Takagi's theorem on the differential composition of polynomials

Alan D. Sokal

Published 2021-12-08Version 1

I give a short and completely elementary proof of Takagi's 1921 theorem on the zeros of a composite polynomial $f(d/dz) \, g(z)$.

Comments: LaTeX2e, 4 pages. Accepted for publication in the American Mathematical Monthly
Journal: Amer. Math. Monthly 129, 381--384 (2022)
Categories: math.CA, math.CV
Subjects: 30C15, 30C10
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