Solvability of equations in elementary functions

Alexey Belov-Kanel; Alexei Malistov; Rodion Zaytsev

doi: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

Bibliographical note

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

Publisher Copyright:
© 2020 World Scientific Publishing Company.

Keywords

Abel-Ruffini theory
elementary functions
equation solvability

Access to Document

10.1142/S0218216520400052

Cite this

@article{73d90f1edd92475aa29f6f717d883e1b,

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",

note = "Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

month = feb,

day = "1",

doi = "10.1142/S0218216520400052",

language = "אנגלית",

volume = "29",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "2",

}

TY - JOUR

T1 - Solvability of equations in elementary functions

AU - Belov-Kanel, Alexey

AU - Malistov, Alexei

AU - Zaytsev, Rodion

PY - 2020/2/1

Y1 - 2020/2/1

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

UR - http://www.scopus.com/inward/record.url?scp=85082064194&partnerID=8YFLogxK

U2 - 10.1142/S0218216520400052

DO - 10.1142/S0218216520400052

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85082064194

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

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this