Solvability of equations in elementary functions

Alexey Belov-Kanel, Alexei Malistov, Rodion Zaytsev

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that the equation tan(x)-x = a is unsolvable in elementary functions.

Original languageEnglish
Article number2040005
JournalJournal of Knot Theory and its Ramifications
Volume29
Issue number2
DOIs
StatePublished - 1 Feb 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020 World Scientific Publishing Company.

Funding

was supported by the Russian Science Foundation under grant 17-11-

FundersFunder number
Russian Science Foundation17-11-

    Keywords

    • Abel-Ruffini theory
    • elementary functions
    • equation solvability

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