Solvability of equations in elementary functions

Alexey Belov-Kanel; Alexei Malistov; Rodion Zaytsev

doi:https://doi.org/10.1142/S0218216520400052

Solvability of equations in elementary functions

Alexey Belov-Kanel, Alexei Malistov, Rodion Zaytsev

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Article number	2040005
Journal	Journal of Knot Theory and its Ramifications
Volume	29
Issue number	2
DOIs	https://doi.org/10.1142/S0218216520400052
State	Published - 1 Feb 2020
Externally published	Yes

Keywords

Abel-Ruffini theory
elementary functions
equation solvability

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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https://doi.org/10.1142/S0218216520400052

Cite this

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title = "Solvability of equations in elementary functions",

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

keywords = "Abel-Ruffini theory, elementary functions, equation solvability",

author = "Alexey Belov-Kanel and Alexei Malistov and Rodion Zaytsev",

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year = "2020",

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doi = "https://doi.org/10.1142/S0218216520400052",

language = "الإنجليزيّة",

volume = "29",

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AU - Belov-Kanel, Alexey

AU - Malistov, Alexei

AU - Zaytsev, Rodion

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N2 - We prove that the equation tan(x)-x = a is unsolvable in elementary functions.

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

KW - Abel-Ruffini theory

KW - elementary functions

KW - equation solvability

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U2 - https://doi.org/10.1142/S0218216520400052

DO - https://doi.org/10.1142/S0218216520400052

M3 - مقالة

SN - 0218-2165

VL - 29

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 2

M1 - 2040005

ER -

Solvability of equations in elementary functions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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