Closed-form solutions to irreducible Newton-Puiseux equations by Lagrange inversion formula and diagonalization on polynomial sequences of binomial-type

DOI10.1090/proc/14580zbMath1421.05018OpenAlexW2915904523WikidataQ128386752 ScholiaQ128386752MaRDI QIDQ5234954

Soowhan Yoon

Publication date: 7 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14580

Mathematics Subject Classification ID

Umbral calculus (05A40) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Singularities of curves, local rings (14H20)

Cites Work

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• Variations on inversion theorems for Newton-Puiseux series
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Inversion and Invariance of Characteristic Pairs
• Studies in Equisingularity III: Saturation of Local Rings and Equisingularity

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