General solution of the arctangent functional equation

Authors

  • Borislav Crstici Timişoara, Romania
  • Ioan Muntean "Babeş-Bolyai" University, Cluj-Napoca, Romania
  • Neculae Vornicescu "Babeş-Bolyai" University, Cluj-Napoca, Romania
Abstract views: 129

Abstract

Not available.

Downloads

Download data is not yet available.

References

Aczel, J., Vorlesungen uber Funktionagleichungen und ihre Anwendungen, Birkhauser Verlag, Basel und Stuttgart, 1961.

Alt, W., Uber die reellen Funktionen einer reellen Veranderlichen, welche ein rationales Additionstheorem Besitzen, Deutsche Math., 5, 1-12, 1940.

Banach, S., Sur l’equation fonctionnelle f(x+y)=f(x)+f(y), Fundam. Math., 1, 123-124, 1920.

Eberlein, W.F., The elementary transcendental funcitons, Amer. Math. Monthly 61, 386-392, 1954.

Hamel, G., Eine Basis alle Zahlen und die unstetige Losungen der Funktionalgleichung f(x+y)=f(x)+f(y), Math. Ann., 60, 459-462, 1905.

Hardy, G.H., A course of pure mathematics, Foruth Edition, Cambridge University Press, Cambridge, 1925.

Hurwitz, A., Uber die Einguhrung der elementaren transzendenten Funktionen in der algebraischen Analysis, Math. Ann., 70, 33-47. 1911.

Kiesewetter, H., Uber die arctan-Funktionalglichung, ihre mehdreutigen, stetigen Losungen and eine nichtstetige Grupps, Wiss. Z. Friedrich-Schiller-Univ. Jena Math.Natur. Reihe: 14, 417-421, 1965.

Maak, W., Dikfferential – und Integralrechnung, 4 Auflage, Vandenhoeck und Ruprecht, Gottingen, 1969.

Muntean, I., Elementary transcendental functions (Romanian), Universitatea “Babes-Bolyai”, Cluj=Napoca, 1982.

Natanson, I.P., Theory of functions of a real variable. Second Edition (Russian), Gos. Izdat. Tehn-Teoret. Lit., Moscow, 1957.

Stamate, I. and Ghircoiasiu, N., Functional equations defining trigonometric functions (Romanian), Bul. Stiint. Inst. Politehn. Cluj 10, 57-60, 1967.

Downloads

Published

1983-08-01

How to Cite

Crstici, B., Muntean, I., & Vornicescu, N. (1983). General solution of the arctangent functional equation. Anal. Numér. Théor. Approx., 12(2), 113–123. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1983-vol12-no2-art2

Issue

Vol. 12 No. 2 (1983)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.